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

The inverse of f(x)= 3/(sqrt(x+4)) is 9/(x^2)-4

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inverse of f(x)= 3/(sqrt(x+4))

inverse

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

\frac{9}{x ^{2}} - 4

Solution steps

y = \frac{3}{x + 4}

Replace

x

with

y

x = \frac{3}{y + 4}

Solve for

y, x = \frac{3}{y + 4}

\frac{9}{x ^{2}} - 4

y = arctan (\frac{x - 1}{x + 1})

(1.2) m = 2

(9, - 4), (2, - 1)

\frac{1 - 4 x}{2 x + 9}

f (x) = 4 y = x

What is the inverse of f(x)= 3/(sqrt(x+4)) ?
The inverse of f(x)= 3/(sqrt(x+4)) is 9/(x^2)-4