Question

f(x)=sin2x g(x)=x^2-7

find g(f(x))

Answer 1

To find g(f(x)) put sin2x in place of x in g(x)..
Getting??

Answer 2

and what would that become?

Answer 3

You show me then I will tell you whether it is right or wrong..

Answer 4

(sin2x)^2-7

Answer 5

Yes now take the square of sin2x..

Answer 6

you mean (sin2x)(sin2x)

Answer 7

No..

x*x = x^2

Answer 8

\[\huge (\sin2x)^2 = \sin^22x\]

Answer 9

Getting??

Answer 10

erm not that no.

Answer 11

Are you provided with choices or not?

Answer 12

\[\huge (\sin2x)^2 = \sin^22x\]

These are one and the same thing..

Answer 13

so how do you get from one to the other?

Answer 14

See in case of trigonometry:

\[\sin^2x\]\[\huge \sin^2x \implies (sinx)^2\]

Answer 15

are you provided with the choices??

Answer 16

you are right if that is what you mean.

Answer 17

Yeah I mean it..

Answer 18

but I do understand how sin^2 x is the same as (sin2x)^2