if the function (f(x)=mx + b) has an inverse function, which statement must be true?\n(m\neq0)\n(m =…

if the function (f(x)=mx + b) has an inverse function, which statement must be true?\n(m\neq0)\n(m = 0)\n(b\neq0)\n(b = 0)

if the function (f(x)=mx + b) has an inverse function, which statement must be true?\n(m\neq0)\n(m = 0)\n(b\neq0)\n(b = 0)

Answer

Explanation:

Step1: Recall inverse - function condition

A function (y = f(x)) has an inverse if and only if it is one - to - one. The function (f(x)=mx + b) is a linear function. A linear function (y=mx + b) is one - to - one if and only if its slope (m\neq0). When (m = 0), the function (f(x)=b) is a constant function ((y=b) for all (x)), and a constant function is not one - to - one.

Answer:

(m\neq0)