Q17. - 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)

$f(q+1)$

Step-by-Step Solution

Answer

The function value at $x=q+1$ is $6q+13$

Step 1. Interpreting of function.

$f\left(q+1\right)$ Indicates the value of function $f\left(x\right)$ at $x=q+1$

Step 2. Apply substitution method.

Substitute $x=q+1$ into the function $f\left(x\right)$

$f\left(q+1\right)=6\left(q+1\right)+7$

Step 3. Further calculation :

$\begin{array}{l}f\left(q+1\right)=6q+6+7\\ f\left(q+1\right)=6q+13\end{array}$

Thus, the function value at $x=q+1$ is $6q+13$