For which pairs of functions is (f•g) (x) = 12x? f (x) = 3-4x and g (x) = 16x-3

F (x) = 6x2 and g (x) = 2/x

F (x) = and g (x) = 144x

F (x) = 4x and g (x) = 3x

d

Step-by-step explanation:

on edge

F (x) = 4x and g (x) = 3x

Step-by-step explanation:

We will have to check each pair of functions one by one

So,

For f (x) = 3-4x and g (x) = 16x-3

For composition we have to put g (x) in place of x in f (x)

(fog) (x) = 3-4 (g (x))

= 3-4 (16x-3)

=3-64x+12

=-64x+15

So first pair doesn't give 12x.

Now for,

F (x) = 6x2 and g (x) = 2/x

(fog) (x) = 6 (g (x)) ^2

=6 (2/x) ^2

=6 * (4/x^2)

=24/x^2

For the last pair:

F (x) = 4x and g (x) = 3x

(fog) (x) = 4 (g (x))

=4 (3x) = 12x

So for the last pair of functions (fog) (x) is 12x ...