What is the inverse of f(x)=-log_{0.5}(x)+4 ?

The inverse of f(x)=-log_{0.5}(x)+4 is 0.5^{4-x}

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inverse of f(x)=-log_{0.5}(x)+4

inverse

f (x) = - lo g_{0.5} (x) + 4

0. 5^{4 - x}

Solution steps

y = - lo g_{0.5} (x) + 4

Replace

x

with

y

x = - lo g_{0.5} (y) + 4

Solve for

y, x = - lo g_{0.5} (y) + 4

0. 5^{4 - x}

y = - x + 3

f (x) = 8 cos (2 (x - 6)) + 3

f (x) = 49 - x^{2}

tan (\frac{π}{8} x)

h (x) = x^{2} + 4

What is the inverse of f(x)=-log_{0.5}(x)+4 ?
The inverse of f(x)=-log_{0.5}(x)+4 is 0.5^{4-x}