What is the inverse of f(x)=-5sqrt(x+1)-6,x>=-1 ?

The inverse of f(x)=-5sqrt(x+1)-6,x>=-1 is (x^2+12x+36)/(25)-1

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inverse of f(x)=-5sqrt(x+1)-6,x>=-1

inverse

f (x) = - 5 x + 1 - 6, x \geq - 1

\frac{x ^{2} + 12 x + 36}{25} - 1

Solution steps

y = - 5 x + 1 - 6

Replace

x

with

y

x = - 5 y + 1 - 6

Solve for

y, x = - 5 y + 1 - 6

\frac{x ^{2} + 12 x + 36}{25} - 1

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

f (x) = x^{2} + 4 x - 6

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

f (x) = (3 x - 1)^{5}

What is the inverse of f(x)=-5sqrt(x+1)-6,x>=-1 ?
The inverse of f(x)=-5sqrt(x+1)-6,x>=-1 is (x^2+12x+36)/(25)-1