Question

F(x)= ;x+5
H(x) = 2x-3
g(x) = 3x-2
tentukan
A. ( fog ) (-2)
B. ( foh ) (-5)
c (fogoh)(3)

Answer 1

A.fog(-2)

fog(x) = f(g(x))
= f(3x-2)
= (3x-2) +5
= 3x+3
jadi fog(-2) = 3(-2)+3
=-6+3
=-3
b.foh(-5)

foh(x) = f(h(x))
= f (2x-3)
= 2x-3 +5
= 2x+2
jadi foh(-5) = 2(-5) +2
=-8

c.fogoh(3)

fogoh(x) = fog(h(x))
=fog(2x-3)
=f(3(2x-3) -2)
= f (6x-9-2)
= f (6x-11)
= 6x-11 +5
=6x -6
jadi fogoh(3) = 6(3) -6
=12