The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken... (look at the image below)

Science class had a higher average after completing test 4

Step-by-step explanation:

We are given that The linear function represents the average test score in your math class:

Function:  

We are also given that The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.

x g(x)

1 81

2 83

3 85

To Find equation we will use two point slope form:

Part A: Determine the test average for your math class after completing test 2.

Substitute x = 2 in function that represents the average test score in your math class

So,f(2)=0.5(2)+80=81

Part B : Determine the test average for your science class after the completing test 2. (2 points)

From the given table  the test average for your science class after the completing test 2 is 83.

Part C: Which class had a higher average after completing test 4?

The average test score in your math class after completing test 4 is:

f(x)=0.5x+80

f(x)=0.5(4)+80

f(x)=82

The average test score in your science class after completing test 4 is:

f(x)=2x+79

f(x)=2(4)+79

f(x)=8+79

f(x)=87

So, Science class had a higher average after completing test 4

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

step-by-step explanation:

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