Q19. - 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)

$g(-b)$

Step-by-Step Solution

Answer

The value of the expression is $b^2-4$

Step 1. Interpreting of function g − b .

$g\left(-b\right)$ Indicates the value of function $g\left(x\right)$ at $x=-b$

Step 2. Apply substitution method.

Substitute $x=-b$ into the function $g\left(x\right)$

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

Step 3. Further calculation :

$g\left(-b\right)=b^2-4$

Thus, the function value at $x=-b$ is $b^2-4$.