Question

Dik : f(x) = 2x+11 dan g(x) = 1-x
Dit : a. (f o g)^-1(x)
b. (g o f)^-¹(x)
C. (g o f^-1)(x)
D. (g^-1 o f)(x)
E. (f o g^-1)(x)
F. (f^-1 o g) (x)
G. (f^-1 o g^-1 (x)
H. (g^-1 o f ^-1) ( x)

Answer 1

A) (f o g)^-1 (x)= 2(1-x)+11
= 2-2x+11
=-2x+11+2
=2x-11-2= 2x-13=1/2x-13
b) (g o f)^-1(x)=2x+11-1
=2x+10=1/2x+10
c) sama dgn b
d) (g^-1 o f) (x)=-1-2x+11
=-2x+11-1
=2x-11+1=2x-10
e) (f o g^-1)( x )=2(-1-x)+11 = -2-2x+11
=2x-11+2=2x-9
f) (f^-1 o g) ( x) = -1/2(1-x) +11
= x+10
g) (f^-1 o g^-1) (x) = -1/2(-1-x)+11
=x+12
h) (g^-1 o f^-1)(x) = -1-(-1/2x)+11
= x+10
#maaf ya klo salah