What is the inverse of f(x)=10^{1-x^3} ?

The inverse of f(x)=10^{1-x^3} is -\sqrt[3]{(ln(x)-ln(10))/(ln(10))}

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inverse of f(x)=10^{1-x^3}

inverse

f (x) = 1 0^{1 - x^{3}}

Solution steps

y = 1 0^{1 - x^{3}}

Replace

x

with

y

x = 1 0^{1 - y^{3}}

Solve for

y, x = 1 0^{1 - y^{3}}

f (x) = \frac{( x - 6 )}{8}

f (x) = e^{- 0.5 x^{2}}

f (x) = \frac{5}{x + 4}

f (x) = 6 sec (x)

f (x) = 4 (x^{\frac{1}{5}} - 5) + 10

What is the inverse of f(x)=10^{1-x^3} ?
The inverse of f(x)=10^{1-x^3} is -\sqrt[3]{(ln(x)-ln(10))/(ln(10))}