nat is the inverse of g(x) = 1 – 3x? g-1(x) = g-1(x) = x-1 3 O Option 2 otion 1 -"(x) = 1+x 1-x g¬1(x) = 3 otion 3 O Option 4 3. 3.

Q: F(x) = 8x+5/8 G(x) = x-5/8 Are these two equations inverses of each other?

A: Consider the following inverse composition rule: The two functions fx and gx are inverse if: 1.fgx=x…

Q: S x4X+1 2

A:

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

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Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

A:

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: Find the Range of the following function: f(x) 5-x2 O a. {f(x) | f(x) ER, f(x) 5}

A: Take the help of derivative to find the maximum value of the function and range.

Q: x + 3 -dx х — 1

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: if Pga)ろ-2X+ 6 and f(x)= /x Rind g(x) )-? %3D

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Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: linearization

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: If f(x) = x - 3 and g(x) = x² + 4, simplify (f g)(x).

A: We know, (f∘g)(x)=f{g(x)} Gvbhj

Q: Let two functions be f (x) = Ax + 3, g (x) = Bæ² Ba? %3D What are the possible values of A and B if…

A: We can find the possible values of A and B as below.

Q: *ーx? xp x* + 2x +1

A:

Q: uation of the tangent line to ƒ at x = 1.

A: Given that: The equation is f(x) = x2+3x .