The functions $f$ and $g$ are defined as follows
\[
f(x)=5 x+4 \quad g(x)=2 x^{2}-3 x
\]
Find $f(-4)$ and $g(-6)$.
Simplify your answers as much as possible.
\[
f(-4)=
\]
\[
g(-6)=
\]

Answer

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Answer

So, the final answers are $f(-4)=\boxed{-16}$ and $g(-6)=\boxed{90}$.

Steps

Step 1 ：The functions $f$ and $g$ are defined as follows: $f(x)=5x+4$ and $g(x)=2x^{2}-3x$.

Step 2 ：We are asked to find the values of $f(-4)$ and $g(-6)$.

Step 3 ：To find these values, we substitute $-4$ and $-6$ into the functions $f(x)$ and $g(x)$ respectively.

Step 4 ：Substituting $-4$ into $f(x)$, we get $f(-4)=5(-4)+4=-16$.

Step 5 ：Substituting $-6$ into $g(x)$, we get $g(-6)=2(-6)^{2}-3(-6)=90$.

Step 6 ：So, the final answers are $f(-4)=\boxed{-16}$ and $g(-6)=\boxed{90}$.