#### Algebra Chapter 2-6-b

Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.
f(x) = 5?x - 7, g(x) = x^5 + 7

Yes, yes

Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.
f(x) = x^2 + 1 , g(x) =?x - 1

No, no

Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.
f(x) = 1/x , g(x) = x

No, no

Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.
f(x) = ?x+1 , g(x) = x^2

No, no

Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.
f(x) = x^3 + 8, g(x) = 3?x - 8

Yes, yes

Find the requested function value.
Find (f ? g)(-6) when f(x) = -4x - 1 and g(x) = 4x^2 - 6x + 8.

-753

Find the requested function value.
Find (g ? f)(37) when f(x) = x - 7/6 and g(x) = 7x + 2.

37

Find the requested function value.
Find (g ? f)(7) when f(x) = 4x - 9 and g(x) = -3x^2 - 9x - 7.

- 1,261

Find the requested value.
Using the given tables, find (f? g) (8)
Table contents:
x, 21, 17, 13, 15. x, 10, 8, 11, 9
f(x), 42, 34, 26, 30. g(x), 19, 15, 21, 17

30

Find the requested value.
Using the given tables, find (f?f) (10)
Table contents:
x, 10, 13, 11, 9. x, 12, 10, 13, 11
f(x), 11, 10, 55, 57. g(x), 23, 19, 25, 21

55

Find the requested value.
Using the given tables, find (g? f) (7)
Table contents:
x, 7, 10, 8, 16. x, 9, 16, 7, 8
f(x), 8, 14, 37, 39. g(x), 17, 13, 16, 15

15

Find the requested value.
Using the given tables, find (g? g)(6)
Table contents:
x, 6, 9, 7, 14. x, 8, 14, 6, 7
f(x), 7, 12, 31, 33. g(x), 15, 11, 14, 13

11

For the given functions f and g , find the indicated composition.
f(x) = -5x + 9, g(x) = 6x + 9
(g? f)(x)

-30x + 63

For the given functions f and g , find the indicated composition.
f(x) = 4x + 7,g(x) = 3x - 1(f? g)(x)

12x + 3

For the given functions f and g , find the indicated composition.
f(x) = 4x^2 + 4x + 6, g(x) = 4x - 7
(g? f)(x)

16x^2 + 16x + 17

For the given functions f and g , find the indicated composition.
f(x) = ?x+6, g(x) = 8x - 10
(f? g)(x)

2 ?2x - 1

For the given functions f and g , find the indicated composition.
f(x) = 1/x-4, g(x) = 4/3x

3x/4-12x

For the given functions f and g , find the indicated composition.
f(x) = ?x - 7, g(x) = - 7/x
(g? f)(x)

- 7/?x-7

For the given functions f and g , find the indicated composition.
f(x) = x-3/2, g(x) = 2x + 3

x