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Popular Functions >

inverse of f(x)=3log_{5}(x+1)-2

Solution

inverse

f (x) = 3 lo g_{5} (x + 1) - 2

Solution

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

Solution steps

y = 3 lo g_{5} (x + 1) - 2

Replace

x

with

y

x = 3 lo g_{5} (y + 1) - 2

Solve for

y, x = 3 lo g_{5} (y + 1) - 2

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

Graph

Popular Examples

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inverse of (2x)/(x-5)

parallel y= 1/5 x

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3log_{5}(x+1)-2 ?
The inverse of f(x)=3log_{5}(x+1)-2 is 5^{(x+2)/3}-1