Question

is the function $y = \frac{7}{5}\sqrt{x} - 9$ linear or nonlinear? linear nonlinear submit

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) and \( b \) are constants, and \( x \) is to the first power.

Step2: Analyze given function

The function is \( y=\frac{7}{5}\sqrt{x}-9=\frac{7}{5}x^{\frac{1}{2}} - 9 \). Here, \( x \) is raised to the power of \( \frac{1}{2} \), not the first power. So it does not match the linear function form.

Answer:

nonlinear