Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

y = 7/x^2 + 10

Answer 1

there are many things you could do depending on how creative you are
try g(x) = 7/x^2

Answer 2

What do you mean? I don't understand this.

Answer 3

@hartnn

Answer 4

there are several pairs of function you can make,
let me give you an example :

if y = 4/ log 3x +22

you can make f = 4/x +22 , g = log 3x
which makes fog = 4/ log 3x +22 as required

or
you can make f = x +22 , g =4/ log 3x
which also makes fog = 4/ log 3x +22 as required

see if this makes sense

Answer 5

Not really, is there anything I can do that doesn't use log?

Answer 6

which function do you want to use ?

Answer 7

if y = 4/ x^8+22

you can make f = 4/x +22 , g =x^8
which makes fog = 4/ x^8 +22 as required

or
you can make f = x +22 , g =4/ x^8
which also makes fog = 4/ x^8 +22 as required

Answer 8

ok so would i just put 7/x^2 + 10 = 4/x^8 +22?

Answer 9

omgee, 4/x^8 +22 is just an example :P

Answer 10

what i did with 4/x^8 +22,
try to do same thing with 7/x^2 + 10

Answer 11

i just changed the numbers from your original question and solved it, so that you can "see" what i did and solve your question accordingly

Answer 12

f=7/x^2
g=x+10

would that work?

Answer 13

ofcourse!
good :)

Answer 14

so for the answer to explain it would i just put that adding them together makes 7/x^2 + 10

Answer 15

f(x)=7/x^2
g(x)=x+10

f(g(x)) = (7/x^2) +10
as required.

Answer 16

explain it like that ^^

Answer 17

ok thank you so much!

Answer 18

welcome ^_^