Question

HELP! HELP! HELP! A function and its inverse are shown on the graph. Which answer pairs a possible domain restriction for f(x) and its corresponding impact on f1(x)?

A. f(x) domain: x ≥ 1
f–1(x) domain: x ≥ 1

B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1

C. f(x) domain: x ≤ –2
f–1(x) domain: x ≤ –2

D. f(x) domain: x ≤ –2
f–1(x) range: y ≤ –2

Answer 1

b on edg

Explanation:

Answer 2

B. f(x) domain: x ≥ 1; f⁻¹(x) range: y ≥ 1

Explanation:

The domain of a function is identical to the range of its inverse. This is reflected in choices B and D. However, f(x) is undefined for x < 1, so it makes no sense to restrict its domain to x ≤ -2, as in choice D.

The appropriate response is ...

B.

• f(x) domain: x ≥ 1
• f⁻¹(x) range: y ≥ 1