Question

the graphs of two linear functions f and g are shown in the following figure. (domains are all real numbers.)
(a) solve the equation f(x)=g(x).
(b) solve the inequality f(x)≤g(x).
(a) the solution for f(x) = g(x) is \boxed{}. (simplify your answer.)

Explanation:

Step1: Find intersection x-value

The graphs of $f(x)$ and $g(x)$ intersect at $x=4$.

Step2: Identify where $f(x) \leq g(x)$

Observe the graph: $f(x)$ is below or equal to $g(x)$ when $x \leq 4$.

Answer:

(a) $x=4$
(b) $x \leq 4$