What is the inverse of f(x)=ln(x+7)-ln(3)+1 ?

The inverse of f(x)=ln(x+7)-ln(3)+1 is 3e^{x-1}-7

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inverse of f(x)=ln(x+7)-ln(3)+1

inverse

f (x) = ln (x + 7) - ln (3) + 1

3 e^{x - 1} - 7

Solution steps

y = ln (x + 7) - ln (3) + 1

Replace

x

with

y

x = ln (y + 7) - ln (3) + 1

Solve for

y, x = ln (y + 7) - ln (3) + 1

3 e^{x - 1} - 7

f (x) = (x + 1) (x - 2)

x^{3} - 12

f (x) = \frac{( x + 2 )}{( x - 3 )}

2 x + 3 y = 5

9 y = 8 x - 4

What is the inverse of f(x)=ln(x+7)-ln(3)+1 ?
The inverse of f(x)=ln(x+7)-ln(3)+1 is 3e^{x-1}-7