Use the given table to complete the table below. x ​f(x) ​g(x) −2 0 8       0 3 0       2 5 -2       4 10 5       x ​(f+​g)(x) ​(f−​g)(x) ​(fg)(x) (f/g)(x) −2           0           2           4

Q: f(x)=2^x−1 g(x)=3/8x What values of x will result in f(x)=g(x)? select the correct values. 0 and…

A: To find the value of x such that f(x) =g(x)

Q: x3 Q3\ Evaluate f using substitution (3-2x)5

A: ∫x3(3-2x)5dxApply linearity-∫x3(2x-3)5Substitute…

Q: Let h(x) = f(x)g(æ). If f(x) -3x? – 4x + 2 and g(x) = -x² + 3x +2, what is h' (-1)? Do not include…

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: ( 6x + 3 r < 3 Given the function f(x) what is f(3)? 21 0-1 6x + 3 .

A:

Q: 4. f(x) = e5x² x1o f'(x) =

A: We have given fx=e5x2x10   Product rule for differentiation. ddxu·v=uddxv+vddxu Here, u=e5x2, v=x10…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: f (x) = 2x + 3 g(x) = 2x2 + 6x + 13 Find: (go f)(x)

A:

Q: f(2) = + 2 x- 3 and g(x) = x+3 . Then, (fg)(x) is equal to? x+2 f(x) : r2 +9 x2 + 4x +4 x2 + 6x + 9…

A:

Q: f(x) =1-x² 2.

A: The answer is given as follows :

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: 7 f"(x) = 8x, f) (x)

A: f''(x)=8x75

Q: f(6 + h) - f(6) If f(x) = 3 – 6x, then h. O -6 -6x 6x-3 O 6 O x-6

A: Just put the value instead of x in the given function f(x) as mentioned in the question.

Q: f(x) = x² – 10 on [-2, 3]

A:

Q: 4. A³f(x2) = 5. Aʻf(x0) = 6. A* f(#1) =

A:

Q: f(x)=x^2+6 g(x)=x^2-x+5 (fg)(x)=

A: Given that , f(x) = x2 + 6 g(x) = x2 - x + 5 To find , fg(x) that is  fg(x) = f(g(x)) fg(x) = f(x2 -…

Q: lim X→ x A B C D √√x³+3x²+7 4x²+3x+4 0 ∞ 1 4 11 = Some other answer

A:

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: f(x) = x –? f(x) = 1-x2 f(x) = 4 -x f(x) = +3 x*+1

A:

Q: f (x) = x2, x = - 1/2

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Q: f (x) = *-1 and g(x) = 2 7 x-3'

A:

Q: f(x+ h) – f(x) What is the constant term when is performed, and it is given that f(x) = x² – x.

A: Solve the function for get constant term

Q: 6. f(x) = 5x + ; x = 0 g(x) = 12x Given that (fog)(x) = (gog)(x), find the value of x

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: 3 X and f'(-2) if f(x) = 6x. 8 (-2)=(Simplify your answer. Type

A: Given: f(x)=x38-6xTo find:f'(-2)

Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

A: We have to find the limit of the given function.

Q: f(x) = x² – 8x g (x) = /5x h (x) = 7x+3 Evaluate the function (h o g) (x) for x = 20. Write your…

A:

Q: Let k(x)=f(x)g(x)/h(x). If f(x)=−4x+3,g(x)=2x+2, and h(x)=−3x^2−4x+4, what is k′(x)? Simplify your…

A: We have to find the derivative of function k(x).

Q: 3x+5 and g(x)=3x2+3x after simplifying (f o g ) (x)=

A: Given that two functions:We need to find the composition of function.

Q: f(x + h) - f(x) What is the coefficient of the term contaning the variable h when is performed, and…

A:

Q: 7x -1 Given f(x) = x+7 1 and g(x) = . What is g(f(x))? A gf(x)) = – x 7x B g(f(x)) = X+7 7x-1 ©…

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Q: Let h(x) = f(x) +g(x). If f(x) x and g(x) = 2x, what is h' (-2)? Do not include "h' (-2) =" in your…

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Q: 2х-1, x 10 f (x) = -3x 5 , Find the value of f(8) from the function above.

A:

Q: f(x) = x^2 + 3x - 4 evaluate the f(0)

A:

Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: f(x) = 2x − 3,   g(x) = 3x + 9;   −1 (a) Find the function  fg?

A: Given functions are: f(x)=2x-3and g(x)=3x+9

Q: f(x) = a-2

A:

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: f (x) = -1 + √x-2. g (x) = |3/2x-10| , h (x) = 4+x²/x+8 find f (7), g(4), and h (2)  simplify

A:

Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

A:

Q: f (x) = x2 - 1 g(x) = x - 5 Which expression represents f(g(x))? O A x2 -5x + 24 O B x2 - 5x + 25 x2…

A:

Q: x²+3x If f(x) = , then what is f"(1)? x +1

A:

Q: (3) f(x)= x/4-x²,[-1,2]

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find f'(x). f0x) = 6x - 7 e* (Type an exact answer in terms ofe.)

A: Given

Q: Find the value of k. f(x) x 21 4 g(x) - x + k k = %3D

A:

Q: P(X = x) Value x of X -3 -2 0.14 5 0.25 6 0.23

A:

Q: 2 Let f(x) = x -6 and g(x) = 3-x. Find (fg)(x). (fg)(x) = (Simplify your answer.) %3D

A: topic - functions

Q: 5) Given f(x) = 5x – 2 and h(x)= 3x² – 4x + 12, a) Find f(x) – h(x) b) Find [f(x)]? c) Evaluate h(3)…

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Q: f(x) 7+x 1 7 +X

A:

Q: х-3, x 2 if x= - 5 is Blank 1

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.