For the function f(x) = 3x + 5, what is f(x) when x=3?

Q: What is the domain of the function f(x)=x/x²-1?

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Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: Differentiate f(x) =- from the first principles. x2+3

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Q: For the function f(x) = V - 6, find f-(x).

A: Given : f ( x ) = x ( 1/4)  - 6  find : f - 1  ( x ) = ?

Q: What is (fo g)(11) if f(x) = V – 3 and g(x) = x – 7?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: The domain D, of the function f (x) = Vx² – 1 is: -

A: The domain of a function is set of values for which the function is defined. The square root is…

Q: For the functions f(x)=2x−3 and g(x)=3x2−2, find (f∘g)(x).

A: f(x)=2x−3 and g(x)=3x2−2To find (f∘g)(x)

Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

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Q: f(x) = x + 4x + 3 for function (f')-'(8) =?

A: The given function is: f(x)=x2+4x+3 Therefore the derivative of this function is: f'(x)=2x+4

Q: f(x) = x² + 3x – 5 - Suppose What is f(-3a)?

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Q: At what value of x does the function f(x) = x^3 - 3x^2 - 9x change from increasing to decreasing

A: Increasing decreasing function problem

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: f(x) = (1 – x²) |

A: Given query is to draw the function.

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

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Q: what is (f +g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

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Q: At what value of x does the function f (x) =x- 3x-9 x change from decreasing to increasing?

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Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When…

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Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: snip

A: Given: f(x)=x3-3x2

Q: What is f(12) for the function f(x) = 2x + 3 ?

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Q: What is f(x^2)? *

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Q: What is the domain of the function f(x) = Vx + 4

A: The given function is fx=x-1x+4. It is known that square root function is defined only for non…

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: What is f(3) for the function f(x) = 4x + 7? f(3) =

A: Put value in function

Q: For the function f(x) = x² + 5x – 2, find (a) f(3) (c) -f(x) f(x + h) – f(x) (b) f(-x) (d) f(3x) (e)…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

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Q: snip

A: The function is given as fx=x2-16

Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: For the function f(x)=x+1/x^2+3 find  (c) f(x2+3)

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Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: Find the two x-intercepts of f(x) = x2 − 3x + 2 and show that f′(x) = 0 at some point between the…

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Q: find inflection point for the function f(x)=x^3-6x^2+15

A: we have to find the point of infection for the given function

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

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Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Graph the step function over the interval -2< x< 2. f(x) = [x +3] %3D

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Q: What is the end behavior of the function f(x)=2e^x? Select the two correct answers.

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Q: For the function: f(x) - 3z² +3, f(2) – f(a)

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Q: If f(x) Зх — 3x 5 and g(x) 2*, what does (f · g)(0) equal? -

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Q: The functions f and g are defined by f(x)=x^2 and g(x)=2x, respectively. Which equation is…

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Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: For the function f(x) = (x+1)2x-3 What is the range of f?

A: given function f(x)=(x+1)2x-3 which can be written as f(x)=(x+1)2x3

Q: Find f'(0) for the function f(x) =5xe²x %3D

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Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: 4) Is y = -3x² + 12, x 20 a one-to-one function? Why or why not?

A: For one -one function F(x1)=F(x2) then x1=x2

Q: If f(x) = 1 + 4**', what does f(2) equal?

A: Given real valued function is

Q: What is the domain of the function f(x) = 2x – 4?

A: Domain of a function is the possible values of x, which satisfies the function, i.e. we get a value…

Q: For what value of x does f(x)=7^x first exceed (x)=42x+12?

A: Answer is written below

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

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Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.