Q13. - 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)

 $f(r-2)$

Step-by-Step Solution

Answer

The function value at $f\left(-3\right)$ is $6r-5$.

Step 1. Interpreting of function.

$f\left(r-2\right)$ Indicates the value of function $f\left(x\right)$ at $x=r-2$

Step 2. Apply substitution method.

Substitute $x=r-2$ into the function $f\left(x\right)$

Step 3. Calculation.

The function value at $x=r-2$ is calculated as follows:

$\begin{array}{c}f\left(r-2\right)=6\left(r-2\right)+7\\ =6r-12+7\\ =6r-5\end{array}$

Thus, the function value at $x=r-2$ is $6r-5$.