Question

F(y)= 8y + 11
P(y)= y3+ 4y
Find (F•P)(10)

Answer 1

`(F\cdot \: P)(10)=94640`

Explanation:

By algebraic property of functions we have;

`(F\cdot \: P)(y) = F(y) \cdot \: P(y)`

This implies that,

`(F\cdot \: P)(10) = F(10) \cdot \: P(10)`

But

`F(y) = 8y + 11`

`\implies \: F(10) = 8 * 10 + 11 =80 + 11 = 91`

and

`P(y) = {y}^(3) + 4y`

`P(10) = {10}^(3) + 4 * 10 = 1000 + 40 = 1040`

Therefore,

`(F\cdot \: P)(10) = 91 * 1040 = 94640`