Determine if f(x) = is linear, quadratic, or neither.

*Solution*

A linear function can be written in the form f(x) = ax + b. The function f(x) is not currently in this form.

There is no way to rewrite f(x)without having a variable in the denominator.

So cannot be put in the form ax + b.

A quadratic function can be written in the form f(x) = a + bx +c.

The function f(x)is not currently in this form.

Since there is no way to rewrite f(x) without having a variable in the denominator, cannot be put in the form .

Therefore, f(x) is neither linear nor quadratic.