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Homework Statement
f(x)= [itex]\frac{1}{x}[/itex] g(x)=2√x
Find (f+g)(x)
Homework Equations
Sorry, first post in the homework help section. What do I put here?
The Attempt at a Solution
I feel like I'm missing something obvious here.
(f+g)(x)=[itex]\frac{1}{x}[/itex] + 2√x
=x([itex]\frac{1}{x}[/itex] + 2√x)
= 1 + 2x√x
= 1 + 2√x[itex]^{3}[/itex]
= 1 + 2x[itex]^{\frac{3}{2}}[/itex]The solution in the back of the book is showing the answer as:
= [itex]\frac{1 + 2x^{\frac{3}{2}}}{x}[/itex]Where is the x in the denominator coming from? I multiplied the entire equation by x to clear the fraction, so the way I'm seeing it, there shouldn't be a denominator, right? What am I missing?