Q53. - Algebra 2

Question

What is $g\left(4\right)$ if $g\left(x\right)=x^2-5$.

Step-by-Step Solution

Answer

The value of $g\left(4\right)$ is 11

Step 1 – Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 – Substitute the given value in the given function.

Substitute $x=4$ in the function $g\left(x\right)$.

 $g\left(4\right)={\left(4\right)}^2-5$

Step 3 – Calculate the value by simplification.

$\begin{array}{l}g\left(4\right)={\left(4\right)}^2-5\\ g\left(4\right)=16-5\\ g\left(4\right)=11\end{array}$

Thus, the value of is 11.