Q46. - Algebra 2

Question

 Find each value if $f\left(x\right)=3x-5$ and $g\left(x\right)=x^2-x$.

$f(-3)$

Step-by-Step Solution

Answer

The value of $f(-3)$ is $-14$.

Step 1 – Select the correct function.

_{The given functions are:}

_{$\begin{array}{l}f\left(x\right)=3x-5\\ g\left(x\right)=x^2-x\end{array}$}

_{The required function for the value $f(-3)$} is $f\left(x\right)=3x-5$.

Step 2 – Substitute the value in the selected function.

Substitute $x=-3$ in the function $f\left(x\right)$.

$f(-3)=3(-3)-5$

Step 3 – Calculate the value by simplification.

$\begin{array}{l}f(-3)=3(-3)-5\\ f(-3)=-9-5\\ f(-3)=-14\end{array}$

Thus, the value of $f(-3)$ is $-14$.