SOLUTION: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other. f(x)= 8x+5 and g(x)= x-5/8

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Question 1134367: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other.
f(x)= 8x+5 and g(x)= x-5/8
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use parentheses. As another tutor on this site likes to say, they are free.

The given functions, as you show them, are

f%28x%29=+8x%2B5 and g%28x%29=+x-5%2F8

Those function are not inverses of each other.

But if you put parentheses in the right place(s) in the definitions of the functions, they would be.

Re-post, showing the correct functions.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
--------------------------------------------------------------
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other.
f(x)= 8x+5 and g(x)= x-5/8
-------------------------------------------------------------

Using the function exactly as given:

f%28g%28x%29%29=8%28x-5%2F8%29%2B5
8x-8%285%2F8%29%2B5
8x-5%2B5
8x%2B0
8x
What do you think!!!!?