5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

Q: d the local max and min values of the function f(x)= 3x3 – 2x if it exists.

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

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

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Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

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Q: Find f′(x) and f′(c).

A: Given fx=x2-4x-3  ;   c=1

Q: х g(x)= x-x-2 %3D .2

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Q: 1 g(x) (1 – x)3'

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Q: 4-3 520 F H X

A: apply cosine rule cos 52o = HF/FG HF = Cos 52o * FG HF = 0.61566 * 4.3 HF = 2.6

Q: f(x) = 11 - x f-1(2) =

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Q: 7. Iff (1) = 5, which could be the equation for f (x)?

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Q: 6. f(x) = x + ty -41 -4-2 0 2.

A: Solution: The objective is to graph the given linear function

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: Find f′(x) and f′(c).

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Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

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Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

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Q: 3. Find the domain of the following functions: 7x2- 5x- 2 (a) f(x) = x2+ x- 6 g(x) =/2r2+ 5x+ 3 (b)…

A: We have to find the domain of the following functions - (a) f(x) = 7x2-5x-2x2+x-6(b) g(x) =…

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

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Q: F(x)=x^2-1 F(-1/7)

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Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

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Q: f(x) = (x-1)(x-6) g (x) =x+4

A: Given,           fx=x-1x-6 , gx=x+4

Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: h(x) = x 2- 2x g(x) = 2x - 5 Find h(-2) - g(-2)

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Q: f(x)=x2-2x+4     g(x)=x2+2x-4 (f o g)(4)

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Q: 17. f(x) = x + 2x, g(x) = x + 2

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Q: If f (x) = e2" (x³+1), then f' (1) =

A: The function is given by fx = e2xx3+1 To evaluate : The value of f'(1)

Q: For what value of x does the function g(x) = x³ – 2x² concave downward? А. x2 -1 В. х20 С. х2 -2 D.…

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Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 3 4. f(x) = x - 5 A. x = -1 B. x = 2

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Q: 4 y = f(x) 5-4 3 -2 -1 -1+ -2 5, 3. 2.

A: according to given figure limx→4fx=4f-3=-2f'4=0 here, given function is not continuous at x=-3  so,…

Q: Q3) A) If you have three functions: f (x) = x² – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and…

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Q: What is the value of h'(1) if ha)= f(x+g«) and g(1)=1, g'(1)=1 and f(2)=3

A: A function is given by: h(x) = f(x + g(x)) We have to find h'(1) when g(1) = 1, g'(1) = 1 and f'(2)…

Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

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: 12. What are the x-intercept(s) to the function f(x) = 3x+15x + 12?

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Q: a. ƒ (x) > 0 b. f (x) < 0 4 2 -y = f(x) -3 -1 3 -2

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Q: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

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Q: 3 3 Z =6x,. X2 + X, + Xg + l06 find the endpoints of the function

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Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

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

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Q: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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Q: Given the functions g(x) = 3x + 1/ 2x - 4 find g-1(x)

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Q: f(x)=4x+5 and g(x)=7-9x (f/g)(x)=

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Q: g(x)=x(x-1)(x+1)(x+2)(x+3)

A: Explanation of the solution is given below..

Q: 2x-1 if-2sxs4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x-4 if 4<xs5 (a) f(0) =-1…

A: The given function isf(x)=2x-1if -2≤x≤4x3-4if 4&lt;x≤5

Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: b) g(x) = /x – 1, find g(2), g(1), and g(-1).

A: