Let f (x) = 2x-8 and g (x) = x+9. Find f (g (x)) and g (f (x))

f (g (x)) = 2x + 10 and g (f (x)) = 2x + 1

Step-by-step explanation:

Given,

f (x) = 2x - 8 and g (x) = x + 9

To find, the values of f (g (x)) and g (f (x)) = ?

f (x) = 2x - 8

∴ f (g (x)) = 2 (g (x)) - 8

= 2 (x + 9) - 8

= 2x + 18 - 8

= 2x + 10

Also,

g (x) = x + 9

g (f (x)) = f (x) + 9

= 2x - 8 + 9

= 2x + 1

∴ f (g (x)) = 2x + 10 and g (f (x)) = 2x + 1