What is the inverse of g(x)=sqrt(12-2x)+5/2 ?

The inverse of g(x)=sqrt(12-2x)+5/2 is -(4x^2-20x-23)/8

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inverse of g(x)=sqrt(12-2x)+5/2

inverse

g (x) = 12 - 2 x + \frac{5}{2}

- \frac{4 x ^{2} - 20 x - 23}{8}

Solution steps

y = 12 - 2 x + \frac{5}{2}

Replace

x

with

y

x = 12 - 2 y + \frac{5}{2}

Solve for

y, x = 12 - 2 y + \frac{5}{2}

- \frac{4 x ^{2} - 20 x - 23}{8}

What is the inverse of g(x)=sqrt(12-2x)+5/2 ?
The inverse of g(x)=sqrt(12-2x)+5/2 is -(4x^2-20x-23)/8