What is the inverse of f(x)=-4(x+10)^2+6 ?

The inverse of f(x)=-4(x+10)^2+6 is sqrt(-(x-6)/4)-10,-sqrt(-(x-6)/4)-10

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inverse of f(x)=-4(x+10)^2+6

inverse

f (x) = - 4 (x + 10)^{2} + 6

- \frac{x - 6}{4} - 10, - - \frac{x - 6}{4} - 10

Solution steps

y = - 4 (x + 10)^{2} + 6

Replace

x

with

y

x = - 4 (y + 10)^{2} + 6

Solve for

y, x = - 4 (y + 10)^{2} + 6

- \frac{x - 6}{4} - 10, - - \frac{x - 6}{4} - 10

What is the inverse of f(x)=-4(x+10)^2+6 ?
The inverse of f(x)=-4(x+10)^2+6 is sqrt(-(x-6)/4)-10,-sqrt(-(x-6)/4)-10