Posted by Jo on .
Verify that the function f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x. Graph both the functions on the same graph. Please show all of your work.
f(x)=7/x4
g(x)=4x7/x

College Algebra 
Steve,
I'll do f(g(x)) and that will show you how to do g(f(x))
f(x) = 7/(x4)
so,
f(g) = 7/(g4)
but, g = (4x7)/x, so we have
f(g) = 7/[(4x7)/x  4]
= 7/(4  7/x  4)
= 7/(7/x)
= 7 * (x/7)
= x