SOLUTION: Use composition of functions to determine whether f(x)=7x+4 and g(x)=1/7x-4/7 are inverse of one another. a.yes b.no

Algebra ->  Functions -> SOLUTION: Use composition of functions to determine whether f(x)=7x+4 and g(x)=1/7x-4/7 are inverse of one another. a.yes b.no      Log On


   

Question 469413: Use composition of functions to determine whether f(x)=7x+4 and g(x)=1/7x-4/7 are inverse of one another.
a.yes
b.no
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f+o+g%28x%29+=+f%28x%2F7+-+4%2F7%29+=+7%28x%2F7+-+4%2F7%29+%2B+4+=+x+-+4+%2B+4+=x, and
g+o+f%28x%29+=+g%287x+%2B+4%29+=+%287x%2B++4%29%2F7++-+4%2F7+=+x+%2B+4%2F7+-+4%2F7+=+x, so
answer is a. yes.