Question

select the correct choice below and fill in the answer box within your choice if necessary.

a. the inverse function is \\(f^{-1}(x) = \\) . (simplify your answer.)
b. the function is not one-to-one.

Explanation:

Verify the function is one-to-one

Using the One-to-One Functions and Rational Functions knowledge points

$$
LATEXBLOCK0
$$

Set up the inverse equation

Using the Inverse Functions knowledge point

$$
LATEXBLOCK1
$$

Solve for the inverse function

Using the Inverse Functions and Rational Functions knowledge points

$$
LATEXBLOCK2
$$

Answer:

• A. The inverse function is \(f^{-1}(x) = \frac{3x + 4}{x - 1}\). (Correct answer)
• B. The function is not one-to-one.