Question

It is known that g (x) = 2 + 5 and (f o g) (x) = 6x + 17. The formula for the function f (x) is

Answer 1

f ○ g) (x) = 6x + 17

f (g (x)) = 6x + 17

f (2x + 5) = 6x + 17

3 (2x + 5) + 2 = 6x + 17

f (x) = 3x + 2

∴ So, the formula for the function f (x) is 3x + 2.

Answer 2

.......................3x + 2...................