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.

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
asked 2021-01-31
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.

Answers (1)

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: \(\frac{-b}{m}\)
0

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