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Express the following in terms of the functions g:x—>x+2 and h:x—>3x
X—>3x+2.

Can someone please help me work this out?

Reply 1

Zacken

Original post by fruity_spirit

Express the following in terms of the functions g:x—>x+2 and h:x—>3x
X—>3x+2.

Can someone please help me work this out?

Well you want to take x -> 3x -> 3x + 2. What is this in terms of g and h?

[it's hard to give a hint here without writing down the answer]

Reply 2

RDKGames

Study Forum Helper

Original post by fruity_spirit

Express the following in terms of the functions g:x—>x+2 and h:x—>3x
X—>3x+2.

Can someone please help me work this out?

Notice that

x \mapsto 3x+2

is very similar to

g : x \mapsto x+2

, except the input is

3x

rather than

x

. Precisely,

h(x)=3x

therefore the function

f : x \mapsto 3x+2

is...?

Reply 3

NotNotBatman

Original post by fruity_spirit

Express the following in terms of the functions g:x—>x+2 and h:x—>3x
X—>3x+2.

Can someone please help me work this out?

Compose the functions and add a constant.

Edit: might have read this wrong and you have to do it for each function.

Take rdks advice.

(edited 6 years ago)

Reply 4

fruity_spirit

Original post by Zacken

Well you want to take x -> 3x -> 3x + 2. What is this in terms of g and h?

[it's hard to give a hint here without writing down the answer]

Yes I was in terms of g and h. So technically it’s trial and error? Also thanks for answering.

Reply 5

fruity_spirit

Original post by fruity_spirit

Yes I was in terms of g and h. So technically it’s trial and error? Also thanks for answering.

*it was

Reply 6

Zacken

Original post by fruity_spirit

Yes I was in terms of g and h. So technically it’s trial and error? Also thanks for answering.

I don’t see any trial and error

Reply 7

fruity_spirit

Original post by RDKGames

Notice that

x \mapsto 3x+2

is very similar to

g : x \mapsto x+2

, except the input is

3x

rather than

x

. Precisely,

h(x)=3x

therefore the function

f : x \mapsto 3x+2

is...?

So then this will be gh? Sorry this topic confuses me

Reply 8

RDKGames

Study Forum Helper

Original post by fruity_spirit

So then this will be gh? Sorry this topic confuses me

Indeed it will be! The function is

gh(x) = 3x+2

Reply 9

fruity_spirit

Original post by RDKGames

Indeed it will be! The function is

gh(x) = 3x+2

THANK YOU soooo much 🤗😊

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