Q74. - Algebra 1

Question

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$ then find the following value.

 $g\left(3p\right)$

Step-by-Step Solution

Answer

The expression is: $g\left(3p\right)=9p^2-3$.

Step 1. Given information.

The given functions are:

$\begin{array}{c}f\left(x\right)=2x+4\\ g\left(x\right)=x^2-3\end{array}$

Step 2. Write the Concept.

If find the value of a function $f\left(x\right)$ at any value of $x$, then put the value of $x$ in that function.

Step 3. Determine the function value.

The value of $g\left(3p\right)$ is find in below.

$g\left(x\right)=x^2-3$

Substitute $x=3p$ in the above function.

$$\begin{gathered} g\left(3p\right)={\left(3p\right)}^2-3 \\ =9p^2-3 \end{gathered}$$