Question

1. Using the functions f and g given below, find
fog and gof. Check whether fog = gof.
(i) f(x) = x - 6, g(x) = x?
2
(ii) f(x) =
, g(x) = 2x2 - 1
х
x + 6
(iii) f(x) = g(x) = 3-X
3
(iv) f(x) = 3 + x, g(x) = x - 4
(v) f(x) = 4x2 - 1, g(x) = 1 + x
Sol.​

Answer 1

Step-by-step explanation:

sorry but it's to long questions. very sorry

Answer 2

Answer.

fog(x) = f(g(x))

gof(x) = g(f(x))


1. fog(x) = x^2 - 6

gof(x) = x^2 - 12x + 36

2. fog(x) = x^2 - (1/2)

gof(x) = (x^2/2) - 1

3. fog(x) = (-x/3) + 3

gof(x) = (-x/3) + 1

4. fog(x) = x - 1

gof(x) = x - 1

5. fog(x) = 4x^2 + 8x + 3

gof(x) = 4x^2

Hope this will be helpful.