Answer:
h(x)≥ 5
Step-by-step explanation:
If h(x) = x+2
Range is the output value for all input variables x
If x <3
h(x) < 3 + 2
h(x) < 5
Also h(x) = -x+8, if x ≥3
h(x ) = -3 + 8
h(x)≥ 5
Combining both inequalities
h(x)≥ 5
5 ≤ h(x) < 5
Hence the required range is h(x)≥ 5
