Question

4. Are these two functions inverses of each other?
g(x)=1/4 x
f(x)= 4x

Answer 1

Yes

Explanation:

g(x) = 1/4 x

g(x) = x/4

f(x) = 4x

If you plugin f(x) in g(x) and g(x) into f(x), you should get x:

f(g(x))=

4(g(x)= => plugin g(x) for x in f(x)

4(x/4)=

4*x/4=x √

g(f(x))=

f(x)/4= ==> plugin f(x) for x in g(x)

4x/4 = x√

Hence, f(x) and g(x) are inverse of each other.