What is the inverse of f(x)=4+sqrt(4+11x) ?

The inverse of f(x)=4+sqrt(4+11x) is (x^2-8x+12)/(11)

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inverse of f(x)=4+sqrt(4+11x)

inverse

f (x) = 4 + 4 + 11 x

\frac{x ^{2} - 8 x + 12}{11}

Solution steps

y = 4 + 4 + 11 x

Replace

x

with

y

x = 4 + 4 + 11 y

Solve for

y, x = 4 + 4 + 11 y

\frac{x ^{2} - 8 x + 12}{11}

f (x) = \frac{4 + 3 x}{5 - x}

f (x) = 3 ln (x - 3)

f (x) = \frac{8 x - 9}{x + 1}

x - 1 + 4

What is the inverse of f(x)=4+sqrt(4+11x) ?
The inverse of f(x)=4+sqrt(4+11x) is (x^2-8x+12)/(11)