Q47. - Algebra 2

Question

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

$g\left(3\right)$

Step-by-Step Solution

Answer

The value of $g\left(3\right)$ is 6.

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 $g\left(3\right)$} is $g\left(x\right)=x^2-x$.

Step 2 – Substitute the value in the selected function.

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

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

Step 3 – Calculate the value by simplification.

$\begin{array}{l}g\left(3\right)={\left(3\right)}^2-\left(3\right)\\ g\left(3\right)=9-3\\ g\left(3\right)=6\end{array}$

Thus, the value of $g\left(3\right)$ is 6.