Mathematics
17 Online
zarkam21:
Help please
Join the QuestionCove community and study together with friends!
Sign Up
zarkam21:
Vocaloid:
so for part A it... seems like they just want you to copy g(x) = x^2 + 2, just without the g(x) = part
so just x^2 + 2
Vocaloid:
and then for b, take f(x) = 1/(x-5) and then just replace "x" with "x^2+2"
zarkam21:
\[f(x^2+2)=\frac{ 1 }{ x^2+2 }\]
Vocaloid:
don't forget the -5 part
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid:
should be 1/(x^2+2-5)
zarkam21:
\[f(x^2+2)=\frac{ 1 }{ x^2+2-5) }\]
Vocaloid:
good, make sure to simplify that though
Vocaloid:
2-5 = -3
zarkam21:
so just x^2-3
Join the QuestionCove community and study together with friends!
Sign Up
zarkam21:
for the denominator
Vocaloid:
yes
zarkam21:
okay for part II A
zarkam21:
I would just write f(6)=
zarkam21:
the equation we came up with
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid:
for f(6) use the original equation and calculate it when x = 6
Vocaloid:
so f(x) = 1/(x-5) = 1/(6-5)
zarkam21:
do I simplify this
zarkam21:
or as is
Vocaloid:
simplify
Join the QuestionCove community and study together with friends!
Sign Up
zarkam21:
\[f(X)=\frac{ 1 }{ x-5 }=1\]
Vocaloid:
awesome, now let x = 1 and substitute this into g(x) = x^2 + 2
zarkam21:
\[f(1)=\frac{ 1 }{ 1-5 }\]
Vocaloid:
using g(x) not f(x) ^^
Vocaloid:
when x = 1 g(x) = ?
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid:
g(x) = x^2 + 2
let x = 1 and find what g(x) equals
zarkam21:
g(1)=1^2+2
Vocaloid:
good and that equals..?
zarkam21:
3
Vocaloid:
good so that's your ans. for part II B)
Join the QuestionCove community and study together with friends!
Sign Up
zarkam21:
so a is f(x)=1/(x-5)=1
and b is 3
Vocaloid:
good but I would write a as f(6) = 1/(6-5) = 1 to be more specific
Vocaloid:
otherwise, yeah.