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A function is defined by \(h : x \to 2 - \frac{1}{2x - 3}, x...

A function is defined by h:x212x3,x32. Find h1(12).

A.

6

B.

116

C.

114

D.

53

Correct answer is B

h:x212x3

h(x)=2(2x3)12x3=4x72x3

Let x = h(y)

x=4y72y3

x(2y3)=4y72xy4y=3x7

y=3x72x4

h1(x)=3x72x4

= \frac{\frac{-11}{2}}{-3} = \frac{11}{6}