What is the inverse of f(x)=-1/32 x^2-1/8 x+3/8 ?

The inverse of f(x)=-1/32 x^2-1/8 x+3/8 is -2(2sqrt(-2x+1)+1),-2(-2sqrt(-2x+1)+1)

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inverse of f(x)=-1/32 x^2-1/8 x+3/8

inverse

f (x) = - \frac{1}{32} x^{2} - \frac{1}{8} x + \frac{3}{8}

- 2 (2 - 2 x + 1 + 1), - 2 (- 2 - 2 x + 1 + 1)

Solution steps

y = - \frac{1}{32} x^{2} - \frac{1}{8} x + \frac{3}{8}

Replace

x

with

y

x = - \frac{1}{32} y^{2} - \frac{1}{8} y + \frac{3}{8}

Solve for

y, x = - \frac{1}{32} y^{2} - \frac{1}{8} y + \frac{3}{8}

- 2 (2 - 2 x + 1 + 1), - 2 (- 2 - 2 x + 1 + 1)

f (x) = 30 x^{6}

- 6.5

\frac{( x + 5 )}{27}

f (x) = \frac{4 x - 3}{- 4 x}

lo g_{10} (\frac{1}{2})

What is the inverse of f(x)=-1/32 x^2-1/8 x+3/8 ?
The inverse of f(x)=-1/32 x^2-1/8 x+3/8 is -2(2sqrt(-2x+1)+1),-2(-2sqrt(-2x+1)+1)