Question

The function s(t) = 4t - 21 is a result of the composition (qop)(t). If q(t) = 4t³-1, what is p(t)?

p(t)=1-20
p(t)=√√/T-5
p(t)=√√/7-20
p(t)=√1-5

Answer 1

Answer:
`p(t)=\sqrt[3]{t-5}`

Explanation:

`s(t)=(q \circ p)(t)=q(p(t))=4(p(t))^3 -1\\\\\implies 4(p(t))^3 -1=4t-21 \implies 4(p(t))^3 =4t-20 \\ \\ \implies (p(t))^3 =t-5 \implies p(t)=\sqrt[3]{t-5}`