Answer:
f^-1(x) = x/3 + 1/3
Step-by-step explanation:
We were given that:
We are to calculate the inverse of the function above. We will do so by following the steps enumerated below:
I. We will replace f(x) with ''y'', we have:
II. We will replace the position of ''x'' with ''y'' and ''y'' with ''x''. We have:
III. We will proceed to make ''y'' the subject of the formula, we have:
IV. We will now replace ''y'' with the inverse symbol, we have:
We will now proceed to verify the answer obtained in IV. above. We have:
Therefore, the inverse of the function is: f^-1(x) = x/3 + 1/3