1 point Use graph below to calculate the following a ff4 b

(1 point) Use graph below to calculate the following: (a) f(f(4)) = (b) g(g(4))= (c) f(g(3))= (d) g(f(3))=

Solution

a) f(f(4))

from figure f(4) = 0

==> f(f(4)) = f(0)

from figure f(0) = 0

Hence f(f(4)) = 0

b) g(g(4))

from figure g(4) = 0

==> g(g(4)) = g(0)

from g(0) = 4

Hence g(g(4)) = 4

c) f(g(3))

from figure g(3) = 1

==> f(g(3)) = f(1)

from figure f(1) = 2

==> f(g(3)) = 2

Hence f(g(3)) = 2

d) g(f(3))

from figure f(3) = 2

==> g(f(3)) = g(2)

from figure g(2) = 2

==> g(f(3)) = 2

Hence g(f(3)) = 2