What is the inverse of f(x)=5-7x^2+9x ?

The inverse of f(x)=5-7x^2+9x is -(-9+sqrt(-28x+221))/(14),-(-9-sqrt(-28x+221))/(14)

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inverse of f(x)=5-7x^2+9x

inverse

f (x) = 5 - 7 x^{2} + 9 x

- \frac{- 9 + - 28 x + 221}{14}, - \frac{- 9 - - 28 x + 221}{14}

Solution steps

y = 5 - 7 x^{2} + 9 x

Replace

x

with

y

x = 5 - 7 y^{2} + 9 y

Solve for

y, x = 5 - 7 y^{2} + 9 y

- \frac{- 9 + - 28 x + 221}{14}, - \frac{- 9 - - 28 x + 221}{14}

3^{x + 2}

f (x) = 4 + 5

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

f (x) = \frac{7 x - 3}{5}

lo g_{3} (2 - x) + 1

What is the inverse of f(x)=5-7x^2+9x ?
The inverse of f(x)=5-7x^2+9x is -(-9+sqrt(-28x+221))/(14),-(-9-sqrt(-28x+221))/(14)