116k views
0 votes
Please look at the photo. Thank you!

Please look at the photo. Thank you!-example-1

1 Answer

5 votes
To find the inverse of the function g(x):

g(x) = (x - 8)/7

1. Replace g(x) with y:

y = (x - 8)/7

2. Solve for x in terms of y:

7y = x - 8

x = 7y + 8

3. Replace x with g^-1(x):

g^-1(x) = 7x + 8

To find (g^-1 • g)(1):

1. Substitute x = 1 into g(x):

g(1) = (1 - 8)/7 = -7/7 = -1

2. Substitute -1 into g^-1(x):

g^-1(-1) = 7(-1) + 8 = 1

Therefore, (g^-1 • g)(1) = 1.

To find h^-1(5):

h = {(-9,-8),(-2,5),(4,0),(5,2)}

1. Look for the pair (5,2) in h.

2. Swap the x and y values to get the inverse pair:

h^-1(5) = (2,5)

Therefore, h^-1(5) = (2,5).
User Jeffreyquan
by
8.1k points

No related questions found