What is the inverse of g(x)=sqrt(12-2x)+3/2 ?

The inverse of g(x)=sqrt(12-2x)+3/2 is -(4x^2-12x-39)/8

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inverse of g(x)=sqrt(12-2x)+3/2

inverse

g (x) = 12 - 2 x + \frac{3}{2}

- \frac{4 x ^{2} - 12 x - 39}{8}

Solution steps

y = 12 - 2 x + \frac{3}{2}

Replace

x

with

y

x = 12 - 2 y + \frac{3}{2}

Solve for

y, x = 12 - 2 y + \frac{3}{2}

- \frac{4 x ^{2} - 12 x - 39}{8}

f (x) = 3 x^{2} + 7 x + 2

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

f (x) = 4 x^{3} - 6

f (x) = \frac{7}{x} - 9

f (x) = 16 x^{2} - 56 x + 47

What is the inverse of g(x)=sqrt(12-2x)+3/2 ?
The inverse of g(x)=sqrt(12-2x)+3/2 is -(4x^2-12x-39)/8