How do you find the inverse of $f (x) = 2 x - 5$ $f(x) =2x-5$ ?

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How do you find the inverse of $f (x) = 2 x - 5$ $f(x) =2x-5$ ?

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Answer 1 · 2018-03-22T11:38:34

$f^{- 1} (x) = \frac{1}{2} (x + 5)$ $f^-1(x)=1/2(x+5)$

Explanation:

$express f (x) with x as the subject$ $"express "f(x)" with x as the subject"$

$\Rightarrow 2 x - 5 = y$ $rArr2x-5=y$

$\Rightarrow 2 x = y + 5$ $rArr2x=y+5$

$\Rightarrow x = \frac{1}{2} (y + 5)$ $rArrx=1/2(y+5)$

$change y terms to x and express as f^{- 1} (x)$ $"change y terms to x and express as "f^-1(x)$

$\Rightarrow f^{- 1} (x) = \frac{1}{2} (x + 5)$ $rArrf^-1(x)=1/2(x+5)$

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How do you find the inverse of $f (x) = 2 x - 5$ $f(x) =2x-5$ ?

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Science

Math

Humanities

... and beyond

How do you find the inverse of f(x)=2x−5f(x) =2x-5?

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Explanation:

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Impact of this question

How do you find the inverse of $f (x) = 2 x - 5$ $f(x) =2x-5$ ?