Math Snap

STEP 1

What is this asking?
We're given a piecewise function $g(x)$, which means it acts differently depending on the input $x$, and we need to find what $g(7)$ is!
Watch out!
Make sure to plug the $x$ value into the correct piece of the function!
It's easy to get mixed up!

STEP 2

1. Determine the relevant piece
2. Evaluate $g(7)$

STEP 3

Alright, so we have this funky function $g(x)$ that changes its outfit depending on the value of $x$.
When $x$ is greater than 4, $g(x)$ dresses up as $2x + 3$.
But when $x$ is less than or equal to 4, it prefers the disguise $-2x + 3$.

STEP 4

We're trying to find $g(7)$.
So our $x$ value is 7.
Since 7 is definitely greater than 4, we know which piece to use: the $2x + 3$ one!

STEP 5

Now, let's plug in our $x$ value, which is 7, into the correct piece of the function.
Remember, we decided that since $x=7$ is greater than 4, we're using $g(x) = 2x + 3$.

STEP 6

So, we substitute $x=7$ into the expression:
$$g(7) = 2 \cdot 7 + 3$$

STEP 7

First, we multiply:
$$2 \cdot 7 = 14$$

STEP 8

Then, we add:
$$14 + 3 = 17$$

STEP 9

So, our final result is:
$$g(7) = 17$$

$g(7) = 17$