Let g(x) = -x2 + 5x + 2. Find and simplify g(- 4). g(- 4) = (Simplify your answer.)

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (f+g)(x)

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Q: w, find the value of g(f(-2)).

A: Initially find f(-2) then find g(f(-2)), using value of f(-2).

Q: For function g(x)=3/2x-2, find g(4a)-g(a)

A: The function is given as

Q: Given that g(x) = x² – 3x – 7, find (g o g)(- 3).

A: To find the following expressions

Q: Derive Поg2(3х-1)+2е6х f(x) = 2x-x

A: Here we us the formula for differentiation of quotient ddxuv=vddxu-uddxvv2

Q: f(x) = - 3x(x - 2)(x-2)

A: Given function is fx=-3xx-2x-2.

Q: 4. Given the function y = (3 - 2x²)/(1- x -2x?), (a) Find the difference quotient Ду/Дх.

A: Topic:- Difference quotient

Q: If f(x2-3)=2x2-3, find f(0).

A:

Q: 3x-4 x > 1, f (x) = 0, elsewhere.

A: Given: fx=3x-4   x>1

Q: f(x) = x²e-3*,

A:

Q: Find (f-g)(x). Simplify the result. f(x) = x²-6x + 3 g(x) = 3x2 - 5

A: Given that, fx=x2-6x+3 and gx=3x2-5.

Q: find f' (7) , f(x)= 2x^2

A:

Q: For g(x) = 6(9-x)+10, find g(2).

A: Given is g(x)= 6(9-x)+10 We find the value of g(2)

Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: Find the difference quotient (x+h)-f(x) h 3x+7 2.2x2-1

A: Difference of quotient =f(x+h)-f(x)/h

Q: f'(x)= X-2 x²-9

A: Given data:   The derivative of the function is given as:.   The expression to find out the point of…

Q: Let f(x) = cx2.83. By what factor must x be increased in order to quadruple the value of f?

A:

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: ch that the function X-4 x 5. f (x) =

A:

Q: f(x) = 14x - x², [0, 5]

A:

Q: f(x)=x2-5x-4 f(x+a)= ?

A:

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: Find the domain of: f(x) = x2 - x + 5

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Q: +x - 1, find (f-1)'(3).

A:

Q: f(x)=x² - 2x - 4.

A:

Q: for the function g(x)=(1)/(2)x-8, find g(4a)-g(a)

A: g(4a)=124a-8 g(4a)= 18a-8 Now g(a) = 12a-8

Q: Find g(-1) wheng (x) = x2 – 5x + 2

A:

Q: Let f(x) = 5x + 3 and g(x) = 3x2 + 2x. After simplifying, (f9)(x) =

A: Solving the problem by just multiplying them.

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

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Q: g(x)=2x-1

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Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: f(x)=2ex-x2

A: fx=2ex-x2

Q: Find the domain of f. f(x) = x2 – 13

A:

Q: 0-g(x)]

A: The limits given are limx→cfx=-13 , limx→cgx=-15. To find the limit of the function ,  Apply the…

Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: find g(a+1) when g(x)= -2 x2+x-3

A: The given expression is,

Q: F) = X- 3 x² 2x-4

A: on differentiation we get

Q: Use f(x) = -4x+1, h(x)= |9-3x| Find h(8) -f(-7)

A:

Q: If f(x) = -x2 + 2x, find f(2) - 6. If g(x) = 3x - 2, find g(7) + g(-5)

A: To find the value of a function at a point we substitute the value in the definition of the…

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

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Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (f ∘ g)(0) without finding an…

A:

Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: if (gof)(- 1) = 3 and g(x) = 4x 1, find f(-1) :

A: Given that (gof)(-1)=3 and g(x)=4x-1 find f(-1)

Q: Let g(x) = -x2 + 4x - 5, Find g(2/r)

A: We have to find g2r where function is given as: gx=-x2+4x-5 In this case we just have to replace the…

Q: f(x) = -5

A: solve by Identifying which type of function

Q: f(x) = 7-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x) = x ^ 2 + 3x - 2, findf * (- 2)

A: given that  F(x) = x2+3x-2.        ----------(1) And we have to find f'(-2)  For this we first need…

Q: If f(x) = 3x2 +2x -1, find f(0), f(3), and f(-2).

A:

Q: Find f(-8), if f(x) = x² + 5x - 27

A: The given function is: f(x)=x2+5x-27

Q: f(x) = -2x X- 13 - 2x

A:

Q: f(x) = 5 x² − 5 x, -

A:

Q: Find x when g(x) = -10x + 6 and g(x) = -14

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Q: f(x)=-x^2+4x-4

A: Explanation and solutions is given below.....

Q: f(x) = 3^x3 - 5, find  f(-4)

A:

Q: f (x) = x² and g(x) = 3x – x² Зх — -

A: Let f1 and f2 are the two function of two curve .Then area between them         A = ∫lower…

Q: f(x) = -x² – x – 2 3 g(x) : -3x + 5

A:

Q: Find gof. f(x) =x- 9 g(x)=x²

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.