Question

two functions are shown below.

$f(x) = 3x + 7$
$g(x) = 2x + 13$

what is the value of $x$ where the graphs of $f(x)$ and $g(x)$ intersect?

6

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Explanation:

Step1: Set functions equal

At intersection, \( f(x) = g(x) \), so \( 3x + 7 = 2x + 13 \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 3x - 2x + 7 = 13 \), simplifying to \( x + 7 = 13 \). Then subtract 7: \( x = 13 - 7 \).

Answer:

6