Maths Doubt

https://justpastpapers.com/wp-content/uploads/2014/07/9709_w10_qp_12.pdf

Hi everyone.

Sending another Maths doubt. I really don't understand what you need to do for question 7(iii). Please help.
Thank you!

Oakenari

You need to determine a function

h(x)

, such that

f(x)

is precisely the composition

hg(x)

.

You're told that

g(x) = x-2

, and you found that

f(x) = (x-2)^2 + 3

.

So can you determine

h(x)

must be such that

(x-2)^2 + 3 = h(x-2)

holds ??

If you still don't understand, then I'll rephrase it:

Spoiler

You need to determine a function

h(x)

, such that

f(x)

is precisely the composition

hg(x)

.

You're told that

g(x) = x-2

, and you found that

f(x) = (x-2)^2 + 3

.

So can you determine

h(x)

must be such that

(x-2)^2 + 3 = h(x-2)

holds ??

If you still don't understand, then I'll rephrase it:

Spoiler

I get it now. Thank you so much. Really helpful.

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