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: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

A:

Q: If f(x) = 6x – 1 and g(x)= (2x-7) find (gof)(x). 3 a. 12x +3 O b. X -3 O c. 3x + 15 O d. 4x -3

A: Given: fx=6x-1, gx=2x-73 for finding gofx, we substitute fx in place of x in gx

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

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: For the piecewise function, find the values h(-8), h(-4), h(2), and h(9). - 4x - 8, for x< -6 h(x) =…

A: We can find the respective functional value but first we need to figure out where does that value of…

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

A: given,         h(x) = -x2-3

Q: Which of the following statements is incorrect? sin x { A} lim = 1 {C} lim k = k; k is a constant 1…

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

A:

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: Find  f(−6). f(x) =    x2 + 13 f(−6) =

A: Given  f(x)=x2+13 f(-6)=?

Q: For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2)…

A:

Q: 7. f(x)=5x- 3. For what value of x does f(x) = 32?

A: We have to find x

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

A:

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

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)]

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Q: If f(x) = 3 − 4x, find  f −1(−25)

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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: Optimization Problem: Q: What is the largest possible volume of an open vox that you can built from…

A: