What is the inverse of f(x)=-4(x-2)^2+6 ?

The inverse of f(x)=-4(x-2)^2+6 is sqrt(-(x-6)/4)+2,-sqrt(-(x-6)/4)+2

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inverse of f(x)=-4(x-2)^2+6

inverse

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

- \frac{x - 6}{4} + 2, - - \frac{x - 6}{4} + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{x - 6}{4} + 2, - - \frac{x - 6}{4} + 2

f (x) = \frac{9 x + 27}{x - 12}

f (x) = x^{2} - 4 x + 5, x \geq 2

7 x^{2} - 8

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

\frac{1 e ^{-} ( 2 s )}{( s ^{2} - s )}

What is the inverse of f(x)=-4(x-2)^2+6 ?
The inverse of f(x)=-4(x-2)^2+6 is sqrt(-(x-6)/4)+2,-sqrt(-(x-6)/4)+2