SOLUTION: Hello, I am having trouble with this question. Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. f(x)=3x-7 g(x)=x+3/7

Question 832815: Hello,
I am having trouble with this question.
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
f(x)=3x-7
g(x)=x+3/7
I am absolutely lost on how to solve this question. Detailed explanation would be deeply appreciated. Thanks
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Not sure how you mean your g(x). As written you have x+3/7, as rendered, .

-
Will that composition give x as the result?
NO.

You likely misunderstood what you read of g(x).
This definition is different: . Is this what you are really given?

Neither is this one x.
NOT the inverse of f(x).

The basic idea is if f(g(x))=x and g(f(x))=x, then f and g are inverses.

If you WANT to know the inverse of f(x), then try:
and solve this for g(x).

----------This is likely to be the inverse of f(x).
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