What is the inverse of f(x)=-4/5 x^2+29.6x ?

The inverse of f(x)=-4/5 x^2+29.6x is -(-37+sqrt(-5x+1369))/2 ,(sqrt(-5x+1369)+37)/2

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inverse of f(x)=-4/5 x^2+29.6x

inverse

f (x) = - \frac{4}{5} x^{2} + 29.6 x

- \frac{- 37 + - 5 x + 1369}{2}, \frac{- 5 x + 1369 + 37}{2}

Solution steps

y = - \frac{4}{5} x^{2} + 29.6 x

Replace

x

with

y

x = - \frac{4}{5} y^{2} + 29.6 y

Solve for

y, x = - \frac{4}{5} y^{2} + 29.6 y

- \frac{- 37 + - 5 x + 1369}{2}, \frac{- 5 x + 1369 + 37}{2}

g (x) = \frac{9 ( 4 x - 9 )}{4} + 17

y = 0.1591 x^{3.7053}

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

tan (\frac{3.5}{7.59})

f (x) = x - 5 + 10

What is the inverse of f(x)=-4/5 x^2+29.6x ?
The inverse of f(x)=-4/5 x^2+29.6x is -(-37+sqrt(-5x+1369))/2 ,(sqrt(-5x+1369)+37)/2