What is the inverse of f(x)=-3(x-1)^2+5 ?

The inverse of f(x)=-3(x-1)^2+5 is sqrt(-(x-5)/3)+1,-sqrt(-(x-5)/3)+1

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inverse of f(x)=-3(x-1)^2+5

inverse

f (x) = - 3 (x - 1)^{2} + 5

- \frac{x - 5}{3} + 1, - - \frac{x - 5}{3} + 1

Solution steps

y = - 3 (x - 1)^{2} + 5

Replace

x

with

y

x = - 3 (y - 1)^{2} + 5

Solve for

y, x = - 3 (y - 1)^{2} + 5

- \frac{x - 5}{3} + 1, - - \frac{x - 5}{3} + 1

What is the inverse of f(x)=-3(x-1)^2+5 ?
The inverse of f(x)=-3(x-1)^2+5 is sqrt(-(x-5)/3)+1,-sqrt(-(x-5)/3)+1