Find f o g, g o f, and go g. f(x) = x², g(x) = x – 4 (a) fog (x – 4)? (b) gof – 4 (c) gog x – 8

Q: Find: (fog)(x) (gof)(x) (fog)(2)    f(x)=7x+1 and g(x)=2x^2-9

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Q: f(x) = -x² + 2r + 15 What is the first (left most on the horizontal axis) zero of this func- tion, r…

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Q: x²+4 f(x) = %3D Jx2- x-6 find the do o main and range

A: Graph of the function is shown below

Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves…

A: The Given equation is: f(x) = (x-6)(x+7)(x+3)(x+4)(x+7)

Q: g(x) = la - 1 9 (2) =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

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Q: Find f′(x) and f′(c).

A: Given fx=x2-4x-3  ;   c=1

Q: Given the function g(n) = 4nª + 28n³ + 40n² its g-intercept is its n-intercepts are

A: gn=4n4+28n3+40n2 To find its g-intercept, put n = 0, we get g0=404+2803+4002=0 Therefore g-intercept…

Q: х g(x)= x-x-2 %3D .2

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Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: 3x 3. What are the discontinuities of f (x) %3D x3-3x2+x-3 а. х+1 b. x+ 1, x = 3 c. x = 3 d. x = 0,…

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Q: Q.4 Find the formula and domain of fog and gof when f (x)=x-- and g(x)=- 1+x²

A: To find the formula forf∘g=g∘fwhere f(x)=x-1x  and g(x)=x1+x2Also to find the domain of f∘g and g∘f?

Q: AB2: Let h(x) = f(5x-9). Find h'(3).

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f(x) = x -5x+3; k = 2+ i

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Q: Given f (x) =-7x - 8 and g (x) =x², %3D (a) Find (f °g)(x). (b) Find (g of)(x). (c) Is (f °g)(x)= (g…

A: Given- fx=-7x-8 and gx=x2 To find- a-fogxb-gofxc-is fogx=gofx ?

Q: Given: f(b) = V26 + 1 g(b) = 28 – b %3D Vadim tried to evaluate (go f)(-4), but he made a mistake.…

A: We have the functions                                             fb=2b3+1g(b)=28-b then we have to…

Q: x+8 If f(x) = 3x -8 & g(x) = then find (fog)x) (gof)(x) 3 %3D and is (fog)6), (gof)) are equal ??

A: Given  f(x)=3x-8g(x)=x+83

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

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Q: Real part of f(z) = z³ + i – 1 is: | إختر أحد الخيارات x³ + 3xy? .a None of these b 3 – 3xy? – 1 .c…

A: We know that z=x+iy Then f(z) = z3+i-1= (x+iy)3+i-1 = x3+3x2iy+3xi2y2+i3y3+i-1=…

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: f(x+h) – f (x) h f(x) =5x²+ 2x– 3 4. Find the difference quotient, , of (a) g(x) =- (b)

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Q: y = x²-1, stretched vertically by a factor of 3 is a) y = f(x) (b) y = (C) y = f(3x) (d) y = f(x) +…

A: Given,           The function is y=x2-1.

Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

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Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: 23. g(x) = x5 - 3x* + 2x 1.Find g*(0). %3D

A: I have stated the used formulas in the solution

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

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Q: g(x)=3x + 4 find g(-2)

A: Given,           g(x) = 3x + 4

Q: Rx) = 9x + 4, g(x) = x2 + x (a) fog (fo g)(x) = (-00,00) domain (b) gof (go n(x) = (-00,00) domain…

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Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: 2-2x find (fif) G) to use f Cx) = x

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Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: Find (fog)(4) when f(x)=-2x^2+3x+1 and g(x)=2x-5 If f(x)=2x+7 and g(x)=2x-8, find (fog)(8)

A: a)Given,

Q: f(x) : 4х + 8 f (x) = 36, What is x?

A: Given f(x) = 4x + 8 and f(x) = 36 So, 4x + 8 = 36 Now add both sides with (-8), 4x + 8 + (-8)= 36 +…

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: g(x)=3x-4g(x)=3x−4, find g(1)g(1).

A: we will do simple calculation

Q: g(x) = 4x + 4 f(x)=x²-1 a. (gof)(x) b. (fog)() C. (gof)(-3)

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Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: (x-2)" . g(x) = E n=1

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Q: Find the y-intercept for the graph of the quadratic function

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Q: g(x)= 1/8x -5 find g(8a-16)

A: Given:

Q: tees is x2-16 x+4 14. f(x) = g(x) = * x2-5x+4' x-1 -2 -1 0 1 3 4 f (x) g(x) 2.

A: Given function is fx=x2−16x2−5x+4 and gx=x+4x−1 Simplify fx=x2−16x2−5x+4…

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

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Q: f(x)=2x−10 and g(x)=x^2+3x+14 What is the quotient of f(x) by g(x?

A: Quotient of f(x) by g(x) is:

Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: Q3:a\ -7)(x) = g(x) f(x)' If f(x) = 1, g(x) = 1 + √x. Find the domains of (1)(x) =

A: Topic:- function       Definition :-  The domain of a function is The set of input values where for…

Q: f (x) = x² – 3x + 9 g (x) = 3x³ + 2x² – 4x – 9 - Find (f – g)(x). Select one: a. –3x³ – x² + x + 18…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find g'(4) given that f(4) = -10, f'(4) = 2 , and g(x) = Vaf(x). %3D Answer:

A: topic - functions and derivative of a function

Q: 5 e2x_x²+1 x³+2x²+4 find f' ( x II

A: