Question

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

46. $\mathbf{f}\left(\mathbf{3}\right)$

Short answer

The value of $f\left(3\right)$ is 2.

Step-by-step solution

– 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.

– Description of step.

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

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

– Description of step.

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

$\begin{array}{c}f\left(3\right)=9-9+2\\ =0+2\\ =2\end{array}$

Therefore, the value of $f\left(3\right)$is 2.