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Popular >

inverse of f(x)=(4x+5)/(x+4)

Solution

inverse

f (x) = \frac{4 x + 5}{x + 4}

Solution

\frac{5 - 4 x}{x - 4}

Solution steps

y = \frac{4 x + 5}{x + 4}

Replace

x

with

y

x = \frac{4 y + 5}{y + 4}

Solve for

y, x = \frac{4 y + 5}{y + 4}

\frac{5 - 4 x}{x - 4}

Popular Examples

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\frac{x ^{3} + 2 x ^{2} + x}{x ^{2} + 3 x + 2}

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f (x) = \frac{6 x}{x + 5}

domain of g(x)=((x^2+3x+2))/((x+1))domain

g (x) = \frac{( x ^{2} + 3 x + 2 )}{( x + 1 )}

domain of ((x-3))/(x^2-4x-12)domain

\frac{( x - 3 )}{x ^{2} - 4 x - 12}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(4x+5)/(x+4) ?
The inverse of f(x)=(4x+5)/(x+4) is (5-4x)/(x-4)