Domain, range, and inverse functions
Functions and exponentials · Stage 3
Recognize the pattern
Swap input and output and solve for the new output.
Useful rulef⁻¹ swaps x and y
Build on: ADM-10
Try it before reading the solution
If f(x)=2x+5, find f⁻¹(x).
This teaching example is original and is not an official SAT question.
Reasoning
Write x=2y+5, then y=(x−5)/2.
Answer(x − 5)/2
03 · Next step
See membership →Ready for adaptive practice
Practice questions remain in English, as on the SAT.