What is the inverse of f(x)=log_{2}(2x-12) ?

The inverse of f(x)=log_{2}(2x-12) is (2^x+12)/2

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inverse of f(x)=log_{2}(2x-12)

inverse

f (x) = lo g_{2} (2 x - 12)

\frac{2 ^{x} + 12}{2}

Solution steps

y = lo g_{2} (2 x - 12)

Replace

x

with

y

x = lo g_{2} (2 y - 12)

Solve for

y, x = lo g_{2} (2 y - 12)

\frac{2 ^{x} + 12}{2}

f (x) = - 3 {-, 3 \leq x \leq 3}

f (x) = 2 - ln (1 + e^{2 x})

f (x) = x - 14

x + 5 - 3

f (x) = \frac{2 x + 3}{6 - x}

What is the inverse of f(x)=log_{2}(2x-12) ?
The inverse of f(x)=log_{2}(2x-12) is (2^x+12)/2