What is the inverse of f(x)=-2sqrt(x+1)-3 ?

The inverse of f(x)=-2sqrt(x+1)-3 is (x^2+9)/4+(3x)/2-1

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inverse of f(x)=-2sqrt(x+1)-3

inverse

f (x) = - 2 x + 1 - 3

\frac{x ^{2} + 9}{4} + \frac{3 x}{2} - 1

Solution steps

y = - 2 x + 1 - 3

Replace

x

with

y

x = - 2 y + 1 - 3

Solve for

y, x = - 2 y + 1 - 3

\frac{x ^{2} + 9}{4} + \frac{3 x}{2} - 1

f (x) = \frac{9 x}{x - 17}

f (x) = \frac{2 x + 5}{5 x + 3}

f (x) = \frac{( 10 - 3 x )}{1 + 2 x}

f (x) = \frac{4}{3} x^{3} + 1

What is the inverse of f(x)=-2sqrt(x+1)-3 ?
The inverse of f(x)=-2sqrt(x+1)-3 is (x^2+9)/4+(3x)/2-1