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Popular >

inverse of f(x)=log_{2}(1/x)

Solution

inverse

f (x) = lo g_{2} (\frac{1}{x})

Solution

\frac{1}{2 ^{x}}

Solution steps

y = lo g_{2} (\frac{1}{x})

Replace

x

with

y

x = lo g_{2} (\frac{1}{y})

Solve for

y, x = lo g_{2} (\frac{1}{y})

\frac{1}{2 ^{x}}

Graph

Popular Examples

inverse of f(x)=3-14x inverse

f (x) = 3 - 14 x

inverse of y=2x^2+2x-1 inverse

y = 2 x^{2} + 2 x - 1

inverse of f(x)=log^2_{3}(x-1)inverse

f (x) = lo g_{3}^{2} (x - 1)

inverse of f(x)= 9/(x+6)inverse

f (x) = \frac{9}{x + 6}

inverse of f(x)= 8/(x+5)inverse

f (x) = \frac{8}{x + 5}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{2}(1/x) ?
The inverse of f(x)=log_{2}(1/x) is 1/(2^x)