What is the inverse of f(x)=4x^2+28x+143 ?

The inverse of f(x)=4x^2+28x+143 is (-7+sqrt(x-94))/2 ,-(sqrt(x-94)+7)/2

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inverse of f(x)=4x^2+28x+143

inverse

f (x) = 4 x^{2} + 28 x + 143

\frac{- 7 + x - 94}{2}, - \frac{x - 94 + 7}{2}

Solution steps

y = 4 x^{2} + 28 x + 143

Replace

x

with

y

x = 4 y^{2} + 28 y + 143

Solve for

y, x = 4 y^{2} + 28 y + 143

\frac{- 7 + x - 94}{2}, - \frac{x - 94 + 7}{2}

What is the inverse of f(x)=4x^2+28x+143 ?
The inverse of f(x)=4x^2+28x+143 is (-7+sqrt(x-94))/2 ,-(sqrt(x-94)+7)/2