Question

Use the following functions for questions:f(x)=4x+1g(x)=2x^2−6xh(x)=−x^2+3x−19Find −2⋅[g(−2)]Select one:a. 8b. -40c. 20d. -16

Answer 1

For the funtion

$g(x)=2x^2-6x$

we have that:

$\begin{gathered} -2\cdot\lbrack g(-2)\rbrack=-2\lbrack2(-2)^2-6(-2)\rbrack \\ =-2\lbrack2(4)+12\rbrack \\ =-2\lbrack8+12\rbrack \\ =-2\lbrack20\rbrack \\ =-40 \end{gathered}$

Therefore the answer is b.