Question

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

Answer 1

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

Answer 2

Answer:

1) 14

2)  3

3)  (4,22)

4) 24

Step-by-step explanation:

We are given a function f(g) as:

f(g) = 4g + 6.

Tiles

3

24

14

(4, 22)

Pairs

1)

when the input g = 2 then the output of the function f(g) is:

f(2)=4×2+6=8+6=14

Hence the answer is-14

2)

We are asked to find the input for the function when the output is 18;

i.e. we are asked to find the value of g such that f(g)=18

4g+6=18

4g=18-6=12

g=(12/4)=3

Hence, the input is 3.

3)

We are asked to find an input and its corresponding output; we know that the input and output is type of a ordered pair.

Hence the value is (4,22) (As we know that corresponding to g=4 we have f(g)=22)

4)

We are asked to find the absolute difference of the input and the output when the input is 6.

When input=6; i.e. g=6

output= f(6)=4×6+6=30

Hence, the absolute difference between input and output is: |6-30|=|-24|=24

Hence the answer is 24.