SOLUTION: f(x)=4/3x+5 What is the domain and range?

Question 404675: f(x)=4/3x+5 What is the domain and range?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

If the function you are asking about is

then it is easy to see that there are no possible discontinuities.

When we speak of discontinunities, we are looking for values of x where f(x) is not defined.

The best examples of these are when you end up with zero in the denominator, or when you have the square root of a negative number.

So without any visible discontinuities, we can see that the domain of f(x) is ALL REAL NUMBERS.

The range of f(x) is also ALL REAL NUMBERS for the same reasoning.

However, if the function is

then we can see a potential discontinuity when x=0

When x=0, we have 0 in the denominator which is not allowed.

So the domain of that function would be ALL REAL NUMBERS except 0.

The range of that function would be ALL REAL NUMBERS except 5.

When you ask a question, be very careful of how you "group" the variables and numbers.

From the original question, it is hard to tell if the function you are asking about is

or

I hope this helps! :)

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