Question

G(×)=(3×+12)/4
Find g^-1(×)
g^-1(6)

Answer 1

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

−

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

−

2

x

)

=

3

(

3

−

2

x

)

2

+

2