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
(simplify your answer.)
(b) the solution for f(x) ≤ g(x) is
(simplify your answer. type an inequality or a double inequality.)

Explanation:

Step1: Find intersection of $f(x)$ and $g(x)$

The graphs intersect at $x=2$.

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

For $x \geq 2$, the graph of $f(x)$ lies below or on $g(x)$.

Answer:

(a) $x=2$
(b) $x \geq 2$