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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = sinh (5 x)

f (x) = \frac{x - 2}{2 x + 1}

Y (x) = lo g_{10} (x + 4)

\frac{3 x x}{8}

y = 6 x, x = 3

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