Question

Given that f(x) = 6x + 2 and g(x) = the quantity of 2x plus 4 divided by 5, solve for g(f(1)).

Select one:
a. 1
b. 3
c. 4
d. 8

Answer 1

The answer is 4! If you plug in the 1 for x in f(x), that gives you 8. Then you plug in f(x) into g(x), you get 4!

Answer 2

Option c is correct.

the value of g(f(1)) is, 4

Explanation:

Given the functions:

`f(x) = 6x+2`

`g(x) = (2x+4)/(5)`

We have to find the g(f(1):

`g(f(x)) = g(6x+2)`

Substitute 6x+2 in place of x in the function g(x) we have;

`g(f(x)) = g(6x+2) = (2(6x+2)+4)/(5)`

⇒
`g(f(x)) = (12x+4+4)/(5) = (12x+8)/(5)`

Substitute x = 1 we have;

`g(f(1)) = (12(1)+8)/(5) = (12+8)/(5) = (20)/(5)=4`

Therefore, the value of g(f(1)) is, 4