Question

find functions of f and g are defined as followingsf(x)=4x^2-x g(x)=-2x-1

Answer 1

We are asked to evaluate functions at specif values. We will start by the function:

$f(x)=4x^2-x$

We have to evaluate this function at x=-4, we do so, by substituting all the x's by the value -4 in the equation for f, as follows:

$\begin{gathered} f(-4)=4(-4)^2-(-4) \\ \text{ }=4(16)+4 \\ \text{ = 64+}4 \\ \text{ =68} \end{gathered}$

Therefore the answer for the first box is 68

Now we will do the second evaluation, this time we are asked to find g(6) where the function g is given by

$g(x)=-2x-1$

Substituting all the x by the value 6, we find

$\begin{gathered} f(6)=-2(6)-1 \\ =-12-1 \\ =-13 \end{gathered}$

Therefore, the answer for the second box is -13