What is the inverse of f(x)=2log_{0.5}(-5x)+4 ?

The inverse of f(x)=2log_{0.5}(-5x)+4 is -0.2*0.5^{(x-4)/2}

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inverse of f(x)=2log_{0.5}(-5x)+4

inverse

f (x) = 2 lo g_{0.5} (- 5 x) + 4

- 0.2 \cdot 0. 5^{\frac{x - 4}{2}}

Solution steps

y = 2 lo g_{0.5} (- 5 x) + 4

Replace

x

with

y

x = 2 lo g_{0.5} (- 5 y) + 4

Solve for

y, x = 2 lo g_{0.5} (- 5 y) + 4

- 0.2 \cdot 0. 5^{\frac{x - 4}{2}}

f (h) = {100 + 10 (h - 12), h > 12}

m = - \frac{1}{3}, (0, 0)

y = \frac{6}{x}

8 - 3

f (x) = 0.825 y

What is the inverse of f(x)=2log_{0.5}(-5x)+4 ?
The inverse of f(x)=2log_{0.5}(-5x)+4 is -0.2*0.5^{(x-4)/2}