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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

extreme (x+1)(x-4)^2 extreme points

(x + 1) (x - 4)^{2}

domain of f(x)=(6x+8)/(x^2+4x)domain

f (x) = \frac{6 x + 8}{x ^{2} + 4 x}

domain of f(x)=(14)/(x^2-9x-36)domain

f (x) = \frac{14}{x ^{2} - 9 x - 36}

range of f(x)=2y-3x=-8 range

f (x) = 2 y - 3 x = - 8

extreme f(x)=x^3-12x^2-27x+3 extreme points

f (x) = x^{3} - 12 x^{2} - 27 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