Bookmarks People Window Help ssmentxCSign In or Sign Up I Ch

Bookmarks People Window Help ssmentxCSign In or Sign Up I ChegxGJessie travels around the w mathas.rationalreasoning.net/assessment/showtest.php?action-skipsto 7 Functions g and r are defined by their graphs below -1 a. Determine the values of each of the following expressions Preview 2.4 24. rPreview w Preview ii g(r(1)) = as ii r(r(6)- D iv, gtr- 2))- LAs ® increases from 4 to 6, the value of g(r(z))_reases Preview b. LASZ increases from 4 to 6, the value ofg(r(z)); decreases .s-from , from __ . Je toi- _ato,. . 12

Solution

1) r(g(2) )

finding g(2) from r(x) graph

g(2) = 5

now r (5) = 2

so, r (g(2)) = 2

2) g(r(1))

finding r(1) which is 1

g(1) = 2.5

so, g(r(1)) = 2.5

3) r (r(6))

finding r(6) which is 1

now , r (1) = 1

so , r (r(6)) = 1

4) g(r(-2))

finding r(-2) which is -1

now, g (-1) = -1

so, g(r(-2)) = -1

b) as x increases from 4 to 6 value of g(r(x) decreases from 6.5 to 2.5