Question

Find f(g(x)) and g(f(x)).
f(x)=-7x
g(x)=cosx

Answer 1

f(g(x))=-7cosx

Answer 2

g(f(x))=cos(-7x)

Answer 3

correct?

Answer 4

looks right , note that cos -7x = cos 7x

Answer 5

Ok, so answer that I had for g(f(x)) is incorrect?

Answer 6

cos7x is a fully-simplified answer?

Answer 7

its a picky answer.. yes look right.

Answer 8

And this is due to the even-odd property of cos, yes?

Answer 9

right the cosine of a negative angle is equal to the cosine of the positive.

Answer 10

Ok, thank you.

Answer 11

yup