What is the inverse of f(x)=-4sqrt(-2x+1)-2 ?

The inverse of f(x)=-4sqrt(-2x+1)-2 is -(x^2+4x-12)/(32)

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inverse of f(x)=-4sqrt(-2x+1)-2

inverse

f (x) = - 4 - 2 x + 1 - 2

- \frac{x ^{2} + 4 x - 12}{32}

Solution steps

y = - 4 - 2 x + 1 - 2

Replace

x

with

y

x = - 4 - 2 y + 1 - 2

Solve for

y, x = - 4 - 2 y + 1 - 2

- \frac{x ^{2} + 4 x - 12}{32}

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

f (x) = 3 - 0.5 2 x + 4

f (x) = (\frac{3}{4}) (10 x - 2)

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

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

What is the inverse of f(x)=-4sqrt(-2x+1)-2 ?
The inverse of f(x)=-4sqrt(-2x+1)-2 is -(x^2+4x-12)/(32)