Question

Given: f(x-2) = 5x - 2 and g(x-3) = 2x -6

Find: (f◦g)(6).

Answer 1

hello mate!.....


given.........


$f(x - 2) = 5x - 2 \\ \\ g(x - 2) = 2x - 6 \\ \\ we \: know...... \\ \\ (fog)(x) = f(g(x)) \\ \\ \\ then....... \\ \\ f(g(6)) = f(12 - 6) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = f(6) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5 \times 6 - 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30 - 2 \\ \\ (fog)(6) = 28$
HOPE IT HELPS U

Answer 2

heya...

Here is your answer....