Question

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

Answer 1

Answer:

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

Step-by-step 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

$F(y) = 8y + 11$

$\implies \: F(10) = 8 \times 10 + 11 =80 + 11 = 91$

and

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

$P(10) = {10}^{3} + 4 \times 10 = 1000 + 40 = 1040$

Therefore,

$(F\cdot \: P)(10) = 91 \times 1040 = 94640$