Evaluating Functions Homework Help

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In summary, the conversation discusses problem a and b, with the attempt at solving them by simplifying fractions and cross-multiplying. The final answer for problem a is 1, and the work for problem b is shown but not fully solved.
  • #1
ninjamonke
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0

Homework Statement



[PLAIN]http://img89.imageshack.us/img89/6410/c3602011091514253311.jpg [Broken]

Homework Equations



Both a and b.

The Attempt at a Solution



For problem a, I don't know what to after that. If you could direct/tell me what to do next, I'd be able to figure it out.
For problem b, I don't know how to set it up.
 
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  • #2
For a. , try getting rid of some denominators, it comes out very nicely.
For b. Do exactly what you did for a. Only now because you have the function F() in the expression multiple times, so you'll have to do the substitution multiple times.

Hope this helps enough.. but not too much.
 
  • #3
For a, do I multiply everything on the bottom by y?
 
  • #4
Yes, multiply both numerator and denominator by y.
 
  • #5
This is my answer that I got.

[PLAIN]http://img838.imageshack.us/img838/1974/c36020110915181646.jpg [Broken]

Is it right?

HallsofIvy said:
Yes, multiply both numerator and denominator by y.

I did that but I don't know if I did it correctly.

[PLAIN]http://img269.imageshack.us/img269/8973/c360201109151748431.jpg [Broken]
 
Last edited by a moderator:
  • #6
I re-wrote the denominator like this:

3y+4/y - 3/1

From here I just cross multiplied:

3y + 4 - 3y

Combine like terms and you end up with 4/4.

F(3y+4/y) = 1
 
  • #7
Your answer to a. is correct ninjamonke, now for b. !
 

What is the purpose of evaluating functions?

The purpose of evaluating functions is to determine the output, or dependent variable, when given a specific input, or independent variable. This allows us to analyze and understand the relationship between the input and output values of a function.

How do you evaluate a function?

To evaluate a function, substitute the given input value for the independent variable in the function and simplify the resulting expression. The resulting value is the output or dependent variable.

What are the key components of a function?

The key components of a function include the independent variable, dependent variable, and the function rule or equation. The independent variable is the input, the dependent variable is the output, and the function rule or equation describes the relationship between the two.

What is the difference between a domain and a range?

The domain of a function is the set of all possible input values, while the range is the set of all possible output values. In other words, the domain is the set of possible x-values and the range is the set of possible y-values of a function.

How can evaluating functions be applied in real life?

Evaluating functions can be applied in various real-life situations, such as calculating the cost of an item based on the number of items purchased, determining the amount of medicine to give based on a person's weight, or predicting the distance a car can travel based on its speed. In general, evaluating functions can help us make decisions and solve problems using mathematical relationships.

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