Find g[f (5) ] if f (x) = x + 1 and g (x) = 3x - 2

First step:

Calculate f (5). Put x = 5 to the equation f (x) = x + 1:

f (5) = 5 + 1 = 6

Second step:

Calculate g[f (5) ] = g (6). Put x = 6 to the equation g (x) = 3x - 2:

g (6) = 3 (6) - 2 = 18 - 2 = 16

Answer: g[f (5) ] = 16