Problem

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. \[ f(-4)= \] \[ g(-6)= \]

Solution

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 $g(-6)=\boxed{90}$.

From Solvely APP
Source: https://solvelyapp.com/problems/8704/

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