What is the inverse of f(x)=f(x)=2(x-3)2+5 ?

The inverse of f(x)=f(x)=2(x-3)2+5 is (x-5)/4+3

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inverse of f(x)=f(x)=2(x-3)2+5

inverse

f (x) = f (x) = 2 (x - 3) 2 + 5

\frac{x - 5}{4} + 3

Solution steps

y = 2 (x - 3) \cdot 2 + 5

Replace

x

with

y

x = 2 (y - 3) \cdot 2 + 5

Solve for

y, x = 2 (y - 3) 2 + 5

\frac{x - 5}{4} + 3

\frac{( 2 x + 7 )}{( 4 x + 10 )}

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

88.4 x^{- 1.11}

f (x) = cos (x + 1) - 12

What is the inverse of f(x)=f(x)=2(x-3)2+5 ?
The inverse of f(x)=f(x)=2(x-3)2+5 is (x-5)/4+3