emimesa13
Answered

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Use the functions and the scenario to solve the problem.

f(x)=1/2x+6
g(x)=x−3

Shiloh and Leanne are asked to evaluate f(x)−g(x).

Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.

Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.

Evaluate each student's answer.

Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.

Sagot :

MrRoyal

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

How to estimate the student's answer?

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

https://brainly.com/question/13502804

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