Which of the following equations has an inverse that is a function? (1 point) \( y=\frac{3 x+2}{2 x-1} \) \( y=3 x^{4}+1 \) \( y=6 x^{2}+5 \) \( y=\frac{3 x^{2}}{2}-4 \)

To determine which equations have inverses that are functions, we need to look for one-to-one functions. The first equation, \( y=\frac{3 x+2}{2 x-1} \), is actually a rational function that passes the horizontal line test, meaning it is one-to-one. The second equation, \( y=3 x^{4}+1 \), fails the horizontal line test because it has minimum points where two different inputs yield the same output. Similarly, the third equation, \( y=6 x^{2}+5 \), is a quadratic function that opens upwards and therefore also fails the test. The fourth equation, \( y=\frac{3 x^{2}}{2}-4 \), is likewise quadratic and not one-to-one. Thus, the answer is that the equation \( y=\frac{3 x+2}{2 x-1} \) has an inverse that is a function.