Question

Let g(x) = 2x and h(x) = x^2+4. Find the value. (h times g) (0)a) 2b) 8c) 10d) 16

Answer 1

`C)(h\cdot g)(1)=10`

1) In this question, we need to multiply one function by the other, and then plug into the x-variable the quantity of x=1

2) So, we can write out the following:

`\begin{gathered} h(x)=x^2+4 \\ g(x)=2x \\ (h\cdot g)(x)=(x^2+4)(2x) \\ (h\cdot g)(x)=2x^3+8x^2 \\ (h\cdot g)(1)=2(1)^3+8(1)^2 \\ (h\cdot g)(1)=2+8 \\ (h\cdot g)(1)=10 \end{gathered}`

So note that the point x=1 for that product of functions yields that output.