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Popular >

inverse of f(x)=3+2ln(x-1)

Solution

inverse

f (x) = 3 + 2 ln (x - 1)

Solution

e^{\frac{x - 3}{2}} + 1

Solution steps

y = 3 + 2 ln (x - 1)

Replace

x

with

y

x = 3 + 2 ln (y - 1)

Solve for

y, x = 3 + 2 ln (y - 1)

e^{\frac{x - 3}{2}} + 1

Popular Examples

extreme x^3+2x^2+x-7 extreme points

x^{3} + 2 x^{2} + x - 7

symmetry y=-x^2+8x-17 symmetry

y = - x^{2} + 8 x - 17

domain of f(x)=sqrt(9-x^2)+sqrt(x+1)domain

f (x) = 9 - x^{2} + x + 1

symmetry y^2=2x^4-4 symmetry

y^{2} = 2 x^{4} - 4

range of (x+2)^2 range

(x + 2)^{2}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3+2ln(x-1) ?
The inverse of f(x)=3+2ln(x-1) is e^{(x-3)/2}+1