# Show that the inverse of any linear function f(x)=mx+b, where mneq 0, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.

Question
Functions
Show that the inverse of any linear function $$f(x)=mx+b$$, where $$m\neq 0$$, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.

2021-02-01
$$y=mx+b$$
$$x=my+b$$
$$my=x-b$$
$$y=\frac{x}{m}-\frac{b}{m}$$
Slope: $$\frac{1}{m}$$
y-intercept: $$\frac{-b}{m}$$

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