What is the inverse of f(x)=10ln(50x-1000) ?

The inverse of f(x)=10ln(50x-1000) is (e^{x/(10)}+1000)/(50)

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inverse of f(x)=10ln(50x-1000)

inverse

f (x) = 10 ln (50 x - 1000)

\frac{e ^{\frac{x}{10}} + 1000}{50}

Solution steps

y = 10 ln (50 x - 1000)

Replace

x

with

y

x = 10 ln (50 y - 1000)

Solve for

y, x = 10 ln (50 y - 1000)

\frac{e ^{\frac{x}{10}} + 1000}{50}

\frac{5}{x} - 2

10.4 - 4 t

f (x) = 2 + 3 + x

10.4 - 4 x

f (x) = 15 x^{2} - 2

What is the inverse of f(x)=10ln(50x-1000) ?
The inverse of f(x)=10ln(50x-1000) is (e^{x/(10)}+1000)/(50)