Question

is the function $y = \frac{5}{8} + \frac{1}{7x}$ 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 (degree 1).

Step2: Analyze given function

The function is \( y=\frac{5}{8}+\frac{1}{7x} \), which can be rewritten as \( y = \frac{5}{8}+\frac{1}{7}x^{-1} \). Here, \( x \) is raised to the power of -1, not 1. So it doesn't match the linear function form.

Answer:

nonlinear