Question

evaluate f(g(0)) and g(f(1)) where f(x)=sgrt(x^2-1) and g(x)=(x^2+1)/(x^2-1)

Answer 1

i think i got f(g(x)) to be sqrt((x^2+1)/(x^2-1)-1)
and g(f(x)) to be sqrt(((x^2+1)/(x^2-1))^2-1)

Answer 2

not required..
can u find g(0) =?

Answer 3

well i think g(0) would be -1

Answer 4

yup, thats correct, now find f(-1)

Answer 5

which if you plug -1 into f(x) would be 0?

Answer 6

yup, so f(g(0)) = 0
got this?

Answer 7

so g(f(1)) would be -1?

Answer 8

yup

Answer 9

awesome thanks!

Answer 10

welcome ^_^

Answer 11

by chance want to help with another problem?

Answer 12

by every chance.....

Answer 13

2^(1+cosx)=4

Answer 14

i think the next step is log(base 2)1+cosx=log(base 2)4

Answer 15

write 4 as 2^2

Answer 16

no need to take log
2^(1+cos x) = 2^2
so
1+cos x =2
got this?

Answer 17

soo cosx=1?

Answer 18

yup

Answer 19

i think im thinking too hard ha. thanks!

Answer 20

welcome :)