What is the inverse of f(x)=8(x-7)^2+22 ?

The inverse of f(x)=8(x-7)^2+22 is (sqrt(2)sqrt(x-22))/4+7,-(sqrt(2)sqrt(x-22))/4+7

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inverse of f(x)=8(x-7)^2+22

inverse

f (x) = 8 (x - 7)^{2} + 22

\frac{2 x - 22}{4} + 7, - \frac{2 x - 22}{4} + 7

Solution steps

y = 8 (x - 7)^{2} + 22

Replace

x

with

y

x = 8 (y - 7)^{2} + 22

Solve for

y, x = 8 (y - 7)^{2} + 22

\frac{2 x - 22}{4} + 7, - \frac{2 x - 22}{4} + 7

y = \frac{3}{2} x + 4

f (x) = \frac{x}{x - 25}

f (x) = 5 \cdot 7^{1 - x}

g (x) = \frac{8 - 5 x}{4}

f (x) = \frac{1}{\frac{x}{3} - 14}

What is the inverse of f(x)=8(x-7)^2+22 ?
The inverse of f(x)=8(x-7)^2+22 is (sqrt(2)sqrt(x-22))/4+7,-(sqrt(2)sqrt(x-22))/4+7