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Mathematics 17 Online
zarkam21:

Help please

zarkam21:

1 attachment
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

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

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

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

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) = ?

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)

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.

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