What is the inverse of f(x)=2(x+6)^2-75 ?

The inverse of f(x)=2(x+6)^2-75 is sqrt((x+75)/2)-6,-sqrt((x+75)/2)-6

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inverse of f(x)=2(x+6)^2-75

inverse

f (x) = 2 (x + 6)^{2} - 75

\frac{x + 75}{2} - 6, - \frac{x + 75}{2} - 6

Solution steps

y = 2 (x + 6)^{2} - 75

Replace

x

with

y

x = 2 (y + 6)^{2} - 75

Solve for

y, x = 2 (y + 6)^{2} - 75

\frac{x + 75}{2} - 6, - \frac{x + 75}{2} - 6

f (2) = 3 x - 7

f (x) = 100 e^{0.013 t}

f (x) = - 2 x + 1 - 4

sin (0.5)

f (x) = - 10 x - 9

What is the inverse of f(x)=2(x+6)^2-75 ?
The inverse of f(x)=2(x+6)^2-75 is sqrt((x+75)/2)-6,-sqrt((x+75)/2)-6