Question

Consider the function.



Which conclusions can be drawn about f–1(x)? Select two options.

f–1(x) has a slope of .
f–1(x) has a restricted domain.
f–1(x) has a y-intercept of (0, –36).
f–1(x) has an x-intercept of (–36, 0).
f–1(x) has a range of all real numbers.

Answer 1

I don't see the function in your message — can you paste the formula or upload the graph/image? I need that to pick the two correct options.

Meanwhile, here is how to decide each choice once you give f:

- Slope of f⁻¹: if f is linear with slope m (f(x)=mx+b), then slope of f⁻¹ is 1/m. If f is not linear, f⁻¹ has no single constant slope.
- “f⁻¹ has a restricted domain”: true iff f has a restricted range (because domain and range swap for inverses).
- “f⁻¹ has a y-intercept of (0,–36)”: true iff f(–36)=0 (points swap).
- “f⁻¹ has an x-intercept of (–36,0)”: true iff f(0)=–36.
- “f⁻¹ has a range of all real numbers”: true iff f has domain all real numbers.

Send the function or its graph and I’ll pick the two correct options and show the reasoning.