IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x +7, and h(x) = the following. Show complete solutions. 1. f(0) 2. f¹(-4) 3. g(7) 4. g(-5) 5. h ¹(3) 6. h(4) 7. (f+g)(x) 8. (g- h)(x) 9. (hg)(x) · (³) (x) 10. 11. (f. h)-¹(x) 12. (h. g)(x) 13.2f¹(2) + g(3) 14. 15. (fog)(4)-(gof)(4) (7) 16. - (³) (4) 3-6x x-4 17. (hf)-¹(2) 18. g(5) - 3h(1) 19. 20. evaluate (hg)(-4)-f(2) . (1. (1.1)) (x) 8

Q: if x s2 (2x – 3 if x> 2 b. g(0) 5. g(x) = %3D a. g(-3) C. g(2) d. g(3) e. g(5)

A:

Q: Given f(x) = 5x -1 and g(x) = 3x +13, find the value of (f-g)(x). %3D a. 2x-12 b. 2x + 12 c. 2x + 14…

A: We have to find function value

Q: 2. For the function f(x) = 3x - 5x2, find the value of f(2t - 1) in simplified form.

A: For the function , to find the value of  in simplified form.

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: If h(x) = -x2 - 3, find h(1), h(-1), h(-3), and h(5).

A: given,         h(x) = -x2-3

Q: 1. Which of the following equations is not a polynomial function? Justify your answer. i. y =-x+ 5…

A:

Q: If f(x) = 2z + 2 then find 02 22 +h O 22-h 200 Oh 32-h f(2 + h) - f(2) h

A:

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: The vertex of the function f(x) = -4x² + 16x - 5 is a. (2, 11) b. (-2, 11) c. (2,-9) d. (-2,-9)

A:

Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

A:

Q: f -3 7

A: The given figure represents the function f(x) defined from the elemets of the set {-4, 6, 7} to {-3,…

Q: 38. Find the intercepts of f(x) = -x² + 4.x + 12. %3D (A) x-intercepts: {-3,5} and y-intercept 12…

A: To Determine: Find the intercepts of the given function:…

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Given two functions f(x)=6-6x and g(x)=2+2x. Find the composition of two functions. f(g(7))=…

A:

Q: Is this equation even or odd or neither

A: Given,  fx = x-42+8x+5  We have to whether the function is even or odd or neither.

Q: If f(x) = 5x, g(x) = -2x + 1, and h(x) = x² + 6x + 8, find each value. 44. h[g(2)] f[h(-3)] h[f(9)]

A:

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: 8. If f(x) = -2x + 6, find the value of f(-3). %D

A: topic - functions

Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

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

Q: Given f(x) = 4x2 – 4x + 1 and g(x) = 2x - 1, which of the following are expression(s) for f - g?…

A: The product of two  functions can be obtained by multiplying all the terms of a function by the…

Q: For f(x) = x +1 and g(x) = 2x + 2, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo…

A: