Posted by Alicia on .
Use composition of functions to show that the functions f(x) = 5x + 7 and
g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
g(f(x))=1/5 (5x+7) -7/5
You do the other.
= x-7 + 7
I do not know how your book displays the expression, but the first term of
offers two possible interpretations, namely (1/5)x or 1/(5x). You might even have been able to solve the problem if it wasn't for the ambiguity.
Thank you! I got a ton more of these to do, so you helped greatly! Thanks!