What is the inverse of f(x)=15x^2+8x+4 ?

The inverse of f(x)=15x^2+8x+4 is (-4+sqrt(15x-44))/(15),-(sqrt(15x-44)+4)/(15)

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inverse of f(x)=15x^2+8x+4

inverse

f (x) = 15 x^{2} + 8 x + 4

\frac{- 4 + 15 x - 44}{15}, - \frac{15 x - 44 + 4}{15}

Solution steps

y = 15 x^{2} + 8 x + 4

Replace

x

with

y

x = 15 y^{2} + 8 y + 4

Solve for

y, x = 15 y^{2} + 8 y + 4

\frac{- 4 + 15 x - 44}{15}, - \frac{15 x - 44 + 4}{15}

\frac{3 x ^{2} - 18 x + 24}{x ^{2} - 4 x}

f (x) = \frac{x ^{2} - 4}{x ^{2} + 9}

f (x) = 6 - \frac{1}{2} x

f (x) = \frac{1}{sin ( x )}

f (x) = (x - 3) (x - 5)

What is the inverse of f(x)=15x^2+8x+4 ?
The inverse of f(x)=15x^2+8x+4 is (-4+sqrt(15x-44))/(15),-(sqrt(15x-44)+4)/(15)