SOLUTION: For the given rational function f, find all values of x for which f(x) has the indicated value. f(x) = 5x + ; f(x) = -38 I don't really understand how I have to approach thi

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Question 149801: For the given rational function f, find all values of x for which f(x) has the indicated value.
f(x) = 5x + ; f(x) = -38
I don't really understand how I have to approach this to solve it! why are there two different functions?

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
This is poorly worded question.
First question, is this really correct f(x) = 5x + ??? That seems like it is missing a term after the plus sign.
Second question, f(x) = -38 is, in fact, a second function. It defines the vertical line that runs through (-38,0).
What I think they meant to ask was f(x) = 5x + (somethingGoesHere) ; f(X) = -38
In this case, the X in the second expression is not a variable, but a specific instance where x=X.
So then all you need to do is:
f(x) = 5x + (somethingGoesHere)
f(X) = 5X + (somethingGoesHere)
-38 = 5X + (somethingGoesHere)
(-38 -(somethingGoesHere))/5 = X
I hope this helps

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