Q12. - Algebra 2

Question

Find $h\left(-2\right)$ if $h\left(x\right)=x^3+1$.

Step-by-Step Solution

Answer

The value of $h\left(-2\right)$ is -7.

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 – Given information.

The given function is:

$h\left(x\right)=x^3+1$

Substitute x=-2 in the given function to find the value of $h\left(-2\right)$.

$h\left(-2\right)={\left(-2\right)}^3+1$

Step 3 – Calculate the value by simplification.

$\begin{array}{c}h(-2)={(-2)}^3+1\\ =-8+1\\ =-7\end{array}$

Thus, the value of $h\left(-2\right)$ is -7.