SOLUTION: Let f(x)=x+3/2x+7 and g(x)=7x+3/2x-1.Find g(f(x))

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Question 1112957: Let f(x)=x+3/2x+7 and g(x)=7x+3/2x-1.Find g(f(x))

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


To compute , substitute whereever you see in the definition of

Your plain text rendering of the problem is ambiguous. There is more than one way of interpreting what you wrote. Next time, use parentheses to make it clear which terms belong in numerators and which belong in denominators. I'm going to proceed based on an assumption about what you meant. All this to say that if I end up giving you a wrong answer based on a misinterpretation of your post, it is on you.

Assuming you meant:



and



Then





Appling the common denominator to both the numerator and denominator fractions:



Distribution and elimination of common factors in the numerator and denominator:



Combine like terms:



John

My calculator said it, I believe it, that settles it