22 - 4. Which of the following is equal to (2) given that g(x) = x² + a - 6 and h(x) : |3D x +1 () %3D x2 + 4x +3 (2) = r2 - 3x + 2 I- 2 (2) = I+1 I+1 (2) %3D r2 - 4x + 3

Q: If f(x)=3x-1 and g(x)=x³, which of the following is FALSE? (fog)(x)=3x³-1 O (fog)(x)=x³/3 +1…

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Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: If X(w) 3u-2 find F(z(3t).

A: Note: There is a typo in the choices. To solve this problem, we use the following property.

Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: Suppose that f (x) =2x² – x+4 and g(x)=4x+1 2(4x+1° ( )4 %3D a. fog)(-1) 3 b. = 3 g(f(-2)) = 3

A: We will use composition of two function to find required value of function at given points

Q: 4. Let f(x) and g(x) + 1. Find and simplify f(g(x)) con x2 (a) f(g(x)) = 17 + x2 (b) f(g(x)) = 9.…

A: Given: f(x) = 2/x and g(x) = 17/ x2 +1

Q: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

Q: (4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case:…

A: As you have asked multiple question, we will answer first question only. lf you want any other…

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x<-2  -(x+1)2 +1            if -2≤x<2  -14x…

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: fx=x+5 ;   gx=x-5

Q: Evaluate (fog)(x) if f(x) = 2x² and g(x) = 3x - 2. 6x² 2 3x³ - 2 O 5x² + 3x-2 O 6x³ + 12x²4 O…

A:

Q: Find (f 9)(x) if f(æ) = –5æ² + 2æ + 7 and g(x) = x + 1. O (f 9)(x) = 5x + 7 (f 9)(x) = -5x + 7 O (f…

A: Given fx=-5x2+2x+7 and gx=x+1

Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: For items 1 - 2. Let f (x) = 3x² + 9x – 3 and g (x) = 4x³ – x² + 4x – 9 %3D 1. Determine (f – 9) x.…

A: We know, f+g x = f(x) + g(x) f-g x = f(x) - g(x) fg x = f(x) g(x)

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

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Q: Question 4 Let y = (x² − 1)³(e³ª + x²)-². Then equals a) 3₁-3-² (b) 31- 3e³x +2x e³x+x² (c)…

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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: Find   g−1 ∘ f −1

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Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

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Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: 1. Iff(x) = -2x+1, evaluate the following for x: (A) f(x)=1 (B) f(x) = -5 (C) f(x)=8

A:

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x- 5. 8. Find (f + g)(2) 9. Find (fg)(3)

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Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: If f(x)= variable. x+3 Select one: a. and g(x)=x-3, find g(f(x)) and state the restrictions on the g…

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Q: 2. Find f(g(5)) if f(x) = 2z + 5 and g(x) = 3x2 %3D O f(g(5)) = 675 O f(g(5)) = 155 %3D O f(g(5)) =…

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Q: yo Ğ frã -x-92 - 25? |

A: given :f(x)=x-x2-9x-255substitue x=1 in above equationf(1)=1-12-9(1)-255