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Popular >

inverse of f(x)=log_{4}(x-1)

Solution

inverse

f (x) = lo g_{4} (x - 1)

Solution

4^{x} + 1

Solution steps

y = lo g_{4} (x - 1)

Replace

x

with

y

x = lo g_{4} (y - 1)

Solve for

y, x = lo g_{4} (y - 1)

4^{x} + 1

Popular Examples

inverse of x^3-27 inverse

x^{3} - 27

inflection f(x)=3x^4-4x^3+6 inflection points

f (x) = 3 x^{4} - 4 x^{3} + 6

domain of sqrt(1+x)domain

1 + x

line (1,2),(-1,3)line

(1, 2), (- 1, 3)

extreme f(x)=x^3-75x+3 extreme points

f (x) = x^{3} - 75 x + 3

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{4}(x-1) ?
The inverse of f(x)=log_{4}(x-1) is 4^x+1