Question

1.) dik f(x)=3x-2
q(x)=x+1
Dit A.gof(x)
B.(fog)^-1
C.(gof)^-1
D.(fof) (5)
E.(gog) (5)

Answer 1

1.

a. (g o f)(x) = g(3x-2)

g(3x-2) = 3x-2 + 1 = 3x-1

b. (f o g)(x) = 3(x+1) - 2

  (f o g)(x)+2 = 3x+3

  (f o g)(x)-1 = 3x

x =  ( (f o g)(x)-1 )/3

(f o g)^-1(x) = (x-1)/3

c. (g o f)(x) = 3x-1

  (g o f)(x)+1 = 3x

x = ( (g o f)(x)+1 )/(3)

(g o f)^-1 (x) = (x+1)/3

d. (f o f)(5) = f(f(5))

f(f(5)) = f(3.5-2)

         = f(15-2)

(f o f)(5) = f(13) = 3.13 - 2 = 37

e. (g o g)(5) = g(g(5))

g(g(5)) = g(5+1)

g(g(5)) = g(6) = 6+1 = 7

Answer 2

Semoga bermanfaat

Jadikan jawaban terbaik ya^^