What is the inverse of f(x)=2sqrt(-(x-4.3))-5.75 ?

The inverse of f(x)=2sqrt(-(x-4.3))-5.75 is -(x^2+11.5x+33.0625)/4+4.3

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inverse of f(x)=2sqrt(-(x-4.3))-5.75

inverse

- \frac{x ^{2} + 11.5 x + 33.0625}{4} + 4.3

Solution steps

y = 2 - (x - 4.3) - 5.75

Replace

x

with

y

x = 2 - (y - 4.3) - 5.75

Solve for

y, x = 2 - (y - 4.3) - 5.75

- \frac{x ^{2} + 11.5 x + 33.0625}{4} + 4.3

What is the inverse of f(x)=2sqrt(-(x-4.3))-5.75 ?
The inverse of f(x)=2sqrt(-(x-4.3))-5.75 is -(x^2+11.5x+33.0625)/4+4.3