What is the inverse of f(x)=(1/(10-x))+2 ?

The inverse of f(x)=(1/(10-x))+2 is (-10x+21)/(-x+2)

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inverse of f(x)=(1/(10-x))+2

inverse

f (x) = (\frac{1}{10 - x}) + 2

\frac{- 10 x + 21}{- x + 2}

Solution steps

y = \frac{1}{10 - x} + 2

Replace

x

with

y

x = \frac{1}{10 - y} + 2

Solve for

y, x = \frac{1}{10 - y} + 2

\frac{- 10 x + 21}{- x + 2}

f (x) = 5^{3 x}

f (x) = 15 x^{3} - 5

\frac{x ^{2} + 3 x - 1}{7 x - 4}

f (x) = \frac{x}{( x ^{2} + 1 )}

What is the inverse of f(x)=(1/(10-x))+2 ?
The inverse of f(x)=(1/(10-x))+2 is (-10x+21)/(-x+2)