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

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

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

inverse

f (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}

f (x) = - lo g_{2} (x + 1) + 3

f (x) = \frac{1}{x ^{2} - x - 6}

f (x) = - 5 x - 5 + 5

\frac{( x + 2 )}{x - 1}

+ (- 2) + 4 x + 1

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