What is the inverse of f(x)=2(x-5)^2-6 ?

The inverse of f(x)=2(x-5)^2-6 is sqrt((x+6)/2)+5,-sqrt((x+6)/2)+5

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inverse of f(x)=2(x-5)^2-6

inverse

f (x) = 2 (x - 5)^{2} - 6

\frac{x + 6}{2} + 5, - \frac{x + 6}{2} + 5

Solution steps

y = 2 (x - 5)^{2} - 6

Replace

x

with

y

x = 2 (y - 5)^{2} - 6

Solve for

y, x = 2 (y - 5)^{2} - 6

\frac{x + 6}{2} + 5, - \frac{x + 6}{2} + 5

f (x) = 15 + 3 x

f (x) = x^{2} - 1, x \geq 1

y = \frac{1}{x - 3}

f (x) = 0.5 (1 - e^{2 x})

f (x) = lo g_{2} (x + 7)

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