Question

Match the numerical expressions related to the function f(g) = 4g + 6 with their correct definitions.

Tiles
A) 3
B) 24
C) 14
D) (4, 22)
Pairs
1) the output of the function when the input g = 2

2) the input for the function when the output is 18

3) an input and its corresponding output

4) the absolute difference of the input and the output when the input is 6

Answer 1

(1) 14

(2) 3

(3) (4,22)

(4) 24

Explanation:

`f(g)= 4g+6`

1) the output of the function when the input g = 2

plug in 2 for g

`f(2)= 4(2)+6=14`

2) the input for the function when the output is 18

plug in 18 for f(g)

`18= 4g+6`

Subtract 6 from both sides

`12= 4g`

Divide both sides by 4

So g= 3

3) an input and its corresponding output

(4,22) represents g=4 (input) and corresponding output f(4)=22

4) the absolute difference of the input and the output when the input is 6

Plug in g=6

`f(2)= 4(6)+6=30`

Input is 6 and output is 30, Difference is 30-6 = 24

Answer 2

For the answer to the question above, the output of the function is 14 when the input g = 2
the input for the function is 3 when the output is 18
an input and its corresponding output is (4, 22) input is 4 and output is 22
the absolute difference of the input and the output when the input is 6 will be 30-6= 24 I hope this helped.