If r is a linear function with the slope that is not equal to zero which of the following is always true of its inverse function

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mlaguna796Pop mlaguna796Pop

02-12-2017
Mathematics

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If r is a linear function with the slope that is not equal to zero which of the following is always true of its inverse function

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altavistard altavistard · Answer 1 · 2017-12-02T23:46:50+01:00

Let's make up a linear function: y = mx + b.

Find its inverse:

1) interchange x and y: x = my + b x-b
2) solve this result for y: my = x - b, or y = ----------
m
-1
3) replace y by f (x)

So long as m is not zero, this function is defined for all x.