Question

Let f(x) =
2x
5
+
3
5
and g(x) =
5x − 3
2
. Prove that g(x) and f(x) are inverses
of each other.

Answer 1

Step-by-step explanation:

In this case we have to find fog(x)and gof(x)

for fog(x) = f(g(x))

f(5x-32)=2(5x-32)+35

=10x-64+35

=10x-25

again gof(x)=g(f(x)

g(2x+35)=5(2x+35)-3

=10x+175-3

10x+172

fog # gof

so not inverse