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Question 905412: Consider the following functions.
f(x) = √(81 − x^2), g(x) = √(x^2 − 4)
Find
(f + g)(x) =
Find the domain of
(f + g)(x) =
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Find
(f − g)(x) =
Find the domain of
(f − g)(x) =
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Find
(fg)(x) =
Find the domain of
(fg)(x) =
----------------
Find
f/g(x) =
Find the domain of
f/g(x)
Thank you
Answer by harpazo(655)   (Show Source):
You can put this solution on YOUR website! We are searching for f(g(x)).
What is g(x)?
You can see that g(x) is given to be 7x^2 - 1.
Replace every x you see in the function f(x) with 7x^2 - 1 and simplify.
(f + g)(x) means the same thing as f(g(x)).
(f + g)(x) = (7x^2 - 1)^2 + 5(7x^2 - 1)
Do the math on the right side on the equation.
I will not do the math for you.
I will tell you, however, that the domain is ALL REAL NUMBERS for this part of the question.
TIP: Your show work. Also, post one question at a time or else nobody will reply.
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