Q70. - Algebra 1

Question

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$, find each value

$g\left(2\right)$

Step-by-Step Solution

Answer

The value of the function is $g\left(2\right)=1$.

Step 1. Concept.

For a function $f$, $f\left(a\right)$ represents the value of the function at $x=a$

Step 2. Evaluating the required value.

To evaluate the function value, substitute $2$ for $x$ in the function $g\left(x\right)$ and simplify further as shown below

 $g\left(2\right)=2^2-3$

Step 3. Calculation.

To simplify further, expand the exponent and then combine to get

$$\begin{gathered} 2^2-3=4-3 \\ =1 \end{gathered}$$