What is the inverse of the function f(x) = 2x – 10?

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06-12-2017
Mathematics

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What is the inverse of the function f(x) = 2x – 10?

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carlafossil320 carlafossil320 · Answer 1 · 2017-12-06T18:30:07+01:00

carlafossil320 carlafossil320

06-12-2017

Replace f(x) with y and proceed to make x the subject:
y=2x-10
y+10=2x
y+10/2=x
Now swap y with x and replace the isolated x with f(x), so
[tex] {f}^{ - 1}(x) = \frac{y + 10}{2} [/tex]

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