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

The inverse of f(x)=3(x-2)^2+4 is sqrt((x-4)/3)+2,-sqrt((x-4)/3)+2

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inverse of f(x)=3(x-2)^2+4

inverse

f (x) = 3 (x - 2)^{2} + 4

\frac{x - 4}{3} + 2, - \frac{x - 4}{3} + 2

Solution steps

y = 3 (x - 2)^{2} + 4

Replace

x

with

y

x = 3 (y - 2)^{2} + 4

Solve for

y, x = 3 (y - 2)^{2} + 4

\frac{x - 4}{3} + 2, - \frac{x - 4}{3} + 2

x^{5} + 5 y^{3} = 2 y

f (x) = x^{2} + 10

f (x) = 6 - 3 e^{x}

ln (x - 6)

f (x) = \frac{x - 5}{x ^{3} + 6 x}

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