Question

if f(x) = 1 over x^2+3
what is f(1)? what is f(p^2)

Answer 1

\[f(x)=\frac{1}{x^2+3}\implies f(1)=\frac{1}{1^2+3}=?\]

Answer 2

well i got the answet to that. but idk the other question

Answer 3

the f(p^2)

Answer 4

so all we did here was put a 1 where we saw a x right?

Answer 5

yea

Answer 6

now just put a p^2 where you see an x
and note that
\[(p^2)^2=p^4\]

Answer 7

so we have \[f(p^2)=\frac{1}{(p^2)^2+3}=\frac{1}{p^4+3}\]

Answer 8

understand?

Answer 9

so as my answer i would put 1 over p^4+3.. or should i simplify it?

Answer 10

you cant simplify it

Answer 11

its just that

Answer 12

on my homewrork it says to give the integer or simplified fraction

Answer 13

oh ok

Answer 14

they just want you to understand that \[f(anything)=\frac{1}{(anything)^2+3}\]

Answer 15

thank you!!!! :D

Answer 16

np