Pre-Calc F(x) questions.
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Pre-Calc F(x) questions.

[From: ] [author: ] [Date: 11-08-24] [Hit: ]
these two are giving me a lot of trouble for some reason...My book provides the answers to both problems, but I cannot seem to achieve them on my own.Any step-by-step help would be greatly appreciated!......
I am currently taking a pre-calculus class and my homework includes many f(x)-style problems. So far, I've been doing fine with them, however, these two are giving me a lot of trouble for some reason...

f (x) - x^2+1; f (x+2)

f (x) - x^2+1; f (x) +f (2)

My book provides the answers to both problems, but I cannot seem to achieve them on my own.
Any step-by-step help would be greatly appreciated!

Thank you in advance!

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Part one: replace x with x+2

(x+2)^2+1 = x^2+4x+4 +1 = x^2+4x+5

Part two: Re-write f(x) and add f(2)
{x^2+1}+{(2^2)+1} = {x^2+1}+5 = x^2+6

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If f(x) = x^2 + 1, then f(x + 2) = (x + 2)^2 + 1 = x^2 + 4x + 4 + 1 = x^2 + 4x + 5

f(x) + f(2) = x^2 + 1 + 5 = x^2 + 6

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not clear

what is f(x) = ? f(x ) = x^2+ 1? then f( x + 2) = ( {x + 2}^2 + 1

not sure what the notation means
1
keywords: Calc,Pre,questions,Pre-Calc F(x) questions.
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