Problem

Knowledge Check The functions $f$ and $g$ are defined as follows. \[ f(x)=-3 x-1 \quad g(x)=2 x^{2}-3 x \] Find $f(7)$ and $g(-5)$. Simplify your answers as much as possible. \[ \begin{array}{l} f(7)=-22 \\ g(-5)=\square \end{array} \]

Solution

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

Step 2 :To find $f(7)$, we substitute $x$ with $7$ in the function $f(x)$, which gives us $f(7)=-22$.

Step 3 :To find $g(-5)$, we substitute $x$ with $-5$ in the function $g(x)$.

Step 4 :After substituting, we get $g(-5) = 65$.

Step 5 :So, the final answers are $f(7) = -22$ and $g(-5) = \boxed{65}$.

From Solvely APP
Source: https://solvelyapp.com/problems/9vRBeSoLNX/

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