Write the expression for $g(-3)$ by replacing every $x$ in $4x^2-1$ with $-3$, and use parentheses around $-3$ so the square applies correctly.

After substituting, do the exponent first (square the number), then multiply by 4, and finally subtract 1.

In Desmos, type g(x)=4x^2-1 to define the function, then on a new line type g(-3) or directly type 4(-3)^2-1. The number that Desmos returns is the value of $g(-3)$.

The function is defined as $g(x)=4x^2-1$.

To find $g(-3)$, replace $x$ with $-3$ everywhere in the formula:

Be sure to keep $-3$ in parentheses so the square applies to the entire number, including the negative sign.

Use the order of operations: exponents come before multiplication and subtraction.

First, square $-3$:

Now substitute this back into the expression:

Now multiply and then subtract:

• Multiply: $4\cdot 9 = 36$.
• Subtract 1: $36 - 1 = 35$.

So the value of $g(-3)$ is 35.