Let D(x) =3x^6-2 Write the equations of any functions h and k, so that D(x)=h(k(x)). Do not use k(x)=x or h(x)=x

Question

a) h(x)=

K(x)=

b) Use your answer from a) to determine D(x)=h(k(x))

Answer 1

There are lots of possible answers but here are a couple:

Let k(x) = x⁶, let h(x) = 3x - 2

Then h(k(x)) = 3x⁶ - 2

Let k(x) = x³, let h(x) = 3x² - 2

Then h(k(x)) = 3x⁶ - 2