SOLUTION: Verify that the two functions are inverse functions algebraically f(x)= 4x+9 g(x)= x-9/4

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Question 369117: Verify that the two functions are inverse functions algebraically
f(x)= 4x+9 g(x)= x-9/4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
(Note: Please put multiple term numerators and denominators in parentheses. As you posted it, g%28x%29+=+x+-9%2F4 which is NOT the inverse of f(x). What you meant was g%28x%29+=+%28x-9%29%2F4 which should be posted as g(x) = (x-9)/4. Tutors are more likely to help when the problems are posted clearly.

To determine if functions f and g are inverses of each other, find f(g(x)) and g(f(x)). They should be equal to x.





f(g(x)) = g(f(x)) = x. So f anf g are inverses of each other.