Q49. - Algebra 2

Question

Find each value if $\mathbf{f}\left(\mathbf{x}\right)\mathbf{=}{\mathbf{x}}^{\mathbf{2}}\mathbf{-}\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{2}$.

$\mathbf{f}\left(\mathbf{-}\mathbf{3}\right)$

Step-by-Step Solution

Answer

The value of $f\left(-3\right)$ is 20.

Step 1 – Description of step.

Compare $f\left(-3\right)$ to $f\left(x\right)$.

By comparing $f\left(-3\right)$ to $f\left(x\right)$, it can be concluded that the value of $x$ is $-3$.

Step 2 – Description of step.

Substitute $-3$ for $x$ into $f\left(x\right)=x^2-3x+2$.

$f\left(-3\right)={\left(-3\right)}^2-3\left(-3\right)+2$

Step 3 – Description of step.

Simplify the equation obtained in step 2 to find the value of $f\left(-3\right)$.

 $\begin{array}{c}f\left(-3\right)=9+9+2\\ =18+2\\ =20\end{array}$

Therefore, the value of $f\left(-3\right)$ is 20.