Question

Match the numerical expressions related to the function f(g) = 4g + 6 with their correct definitions.
Tiles
3
24
14
(4, 22)
Pairs
the output of the function when the input g = 2
arrowBoth
the input for the function when the output is 18
arrowBoth
an input and its corresponding output
arrowBoth
the absolute difference of the input and the output when the input is 6
arrowBoth

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.