What is the inverse of f(x)=4sqrt(2x+4)-3 ?

The inverse of f(x)=4sqrt(2x+4)-3 is (x^2+6x-55)/(32)

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inverse of f(x)=4sqrt(2x+4)-3

inverse

f (x) = 4 2 x + 4 - 3

\frac{x ^{2} + 6 x - 55}{32}

Solution steps

y = 4 2 x + 4 - 3

Replace

x

with

y

x = 4 2 y + 4 - 3

Solve for

y, x = 4 2 y + 4 - 3

\frac{x ^{2} + 6 x - 55}{32}

f (x) = ln (x^{2} + x - 2)

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

(- x^{2} + 16) (x + 3)

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

y = \frac{3 x - 1}{2 x + 8}

What is the inverse of f(x)=4sqrt(2x+4)-3 ?
The inverse of f(x)=4sqrt(2x+4)-3 is (x^2+6x-55)/(32)