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

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

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

inverse

f (x) = - 5 x + 1 - 6

\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) = 7 x - 11

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

f (x) = (x + 1)^{2} + 6

3 x - 2 + 4

f (x) = 600 (1 - x)^{2}

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