What is the inverse of f(x)=(x+3/2)^2-37/4 ?

The inverse of f(x)=(x+3/2)^2-37/4 is (sqrt(4x+37)-3)/2 ,(-sqrt(4x+37)-3)/2

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inverse of f(x)=(x+3/2)^2-37/4

inverse

f (x) = (x + \frac{3}{2})^{2} - \frac{37}{4}

\frac{4 x + 37 - 3}{2}, \frac{- 4 x + 37 - 3}{2}

Solution steps

y = (x + \frac{3}{2})^{2} - \frac{37}{4}

Replace

x

with

y

x = (y + \frac{3}{2})^{2} - \frac{37}{4}

Solve for

y, x = (y + \frac{3}{2})^{2} - \frac{37}{4}

\frac{4 x + 37 - 3}{2}, \frac{- 4 x + 37 - 3}{2}

f (x) = \frac{1}{x ^{2}}, x < 0

f (x) = \frac{6}{( x + 5 )}

y = \frac{5 x - 8}{9 x + 6}

53. 7^{x - 0.7} + 2

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

What is the inverse of f(x)=(x+3/2)^2-37/4 ?
The inverse of f(x)=(x+3/2)^2-37/4 is (sqrt(4x+37)-3)/2 ,(-sqrt(4x+37)-3)/2