What is the inverse of f(x)=4sqrt(5x-x^2-6) ?

The inverse of f(x)=4sqrt(5x-x^2-6) is -(-10+sqrt(-x^2+4))/4 ,(sqrt(-x^2+4)+10)/4

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inverse of f(x)=4sqrt(5x-x^2-6)

inverse

f (x) = 4 5 x - x^{2} - 6

- \frac{- 10 + - x ^{2} + 4}{4}, \frac{- x ^{2} + 4 + 10}{4}

Solution steps

y = 4 5 x - x^{2} - 6

Replace

x

with

y

x = 4 5 y - y^{2} - 6

Solve for

y, x = 4 5 y - y^{2} - 6

- \frac{- 10 + - x ^{2} + 4}{4}, \frac{- x ^{2} + 4 + 10}{4}

f (x) = \frac{1}{2} ln (x - 1) + 5

f (x) = x^{\frac{5}{2}}

f (x) = \frac{3 x + 1}{x + 2}

f (x) = ln (0.5)

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

What is the inverse of f(x)=4sqrt(5x-x^2-6) ?
The inverse of f(x)=4sqrt(5x-x^2-6) is -(-10+sqrt(-x^2+4))/4 ,(sqrt(-x^2+4)+10)/4