Q11. - Algebra 1

Question

Examples 4 and 5 If $f\left(x\right)=6x+7$ and $g\left(x\right)=x^2-4,$ find each value. (P. 49)

$f(-3)$

Step-by-Step Solution

Answer

The function value at $f\left(-3\right)$ is $-11$.

Step 1. Interpreting of function.

$f\left(-3\right)$ Indicates the value of function $f\left(x\right)$ at $x=-3$

Step 2. Apply substitution method.

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

Step 3. Calculation.

The function value at $-3$ is calculated as follows:

$\begin{array}{c}f\left(-3\right)=6\left(-3\right)+7\\ =-18+7\\ =-11\end{array}$

Thus, the function value at $-3$ is $-11$.