Suppose that the function h is defined for all real numbers

Suppose that the function h is defined, for all real numbers, as follows.

h(x)= {1/4x+2 if x 2

4 if x =2

Find h(4), h(2), and h(5).

Solution

Given that

  h(x)= {1/4x+2 if x 2

4 if x =2

1 ) h(-4) = 1 / [4(-4) + 2]

= 1/ (-16 + 2 )

h(-4) = -1/14

2 ) h(2) = 4

3 ) h(5) = 1 / [4(5) + 2]

= 1/ ( 20 + 2 )

h(5) = 1/22