Given f (x) = – x2 + x + 2 and g(x) = , find the following:

a. f ∘ g(x)
b. g ∘ f(x)
c. g ∘ f(-1)

Question

Given f (x) = – x2 + x + 2 and g(x) =  , find the following:	 
	 
a.	 f ∘ g(x)
b.	 g ∘ f(x) 
c.	 g ∘ f(-1)

anonymous · Answer

What is your g(x)?

anonymous · Answer

oops
√2x+3

anonymous · Answer

So what you want to do is plug in one function into every x-value in the other function. For example, for a. you would do $$f∘g(x) = -(\sqrt{2x+3})^2 + (\sqrt{2x+3}) ^2 + 2$$ and you could simplify
Also, I am not sure if that is your g(x) or if it was meant to me sqrt(2x) + 3 or sqrt(2x+3)

anonymous · Answer

sqrt(2x) + 3

anonymous · Answer

no.... actually it is the latter... sqrt(2x+3)

aravindg · Answer

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