What is the inverse of f(x)=82-7ln(x+2) ?

The inverse of f(x)=82-7ln(x+2) is e^{-(x-82)/7}-2

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inverse of f(x)=82-7ln(x+2)

inverse

f (x) = 82 - 7 ln (x + 2)

e^{- \frac{x - 82}{7}} - 2

Solution steps

y = 82 - 7 ln (x + 2)

Replace

x

with

y

x = 82 - 7 ln (y + 2)

Solve for

y, x = 82 - 7 ln (y + 2)

e^{- \frac{x - 82}{7}} - 2

x + 2 + 5

x + 2 + 2

+ x^{2} + 1

y = 3 x^{2} - 5 x + 9

f (x) = 7 (x + 4)

What is the inverse of f(x)=82-7ln(x+2) ?
The inverse of f(x)=82-7ln(x+2) is e^{-(x-82)/7}-2