What is the inverse of f(x)=log_{2}(4x-10) ?

The inverse of f(x)=log_{2}(4x-10) is (2^x+10)/4

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inverse of f(x)=log_{2}(4x-10)

inverse

f (x) = lo g_{2} (4 x - 10)

\frac{2 ^{x} + 10}{4}

Solution steps

y = lo g_{2} (4 x - 10)

Replace

x

with

y

x = lo g_{2} (4 y - 10)

Solve for

y, x = lo g_{2} (4 y - 10)

\frac{2 ^{x} + 10}{4}

f (x) = 2 (x - 3)^{2} - 4

f (x) = sinh (5 x)

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

Y (x) = lo g_{10} (x + 4)

\frac{3 x x}{8}

What is the inverse of f(x)=log_{2}(4x-10) ?
The inverse of f(x)=log_{2}(4x-10) is (2^x+10)/4