Answer:
The answer is y = ± ,
is a function ⇒ 1st answer
Step-by-step explanation:
Let us revise the steps of find the inverse of a function
- Replace f(x) with y
- Replace every x by y and replace y by x
- Solve the equation in Step 2 for y
- Replace y by
∵
- Replace f(x) by y
∴
- Replace y by x and x by y
∴
- Divide each side by 4
∴
- Take for both sides
∴ ±
- Switch the two sides
∴ y = ±
∵ There is no fourth root for negative number
∴ x ≥ 0
When you test the graph of by a vertical line, it will cut it just at one in every position, so it is a function. Look to the attached graph for more understand
∴ is a function
The answer is y = ± ,
is a function
