The function f and g are defined by: f (x) = 3x-2. g (x) = 2x+5. Evaluate: 1. g (-6) 2. fg (3)

1. - 7

2. 31

Step-by-step explanation:

Given f (x) = 3x - 2 and g (x) = 2x + 5, when given the function with the value of 'x', we can substitute in this value and solve for the function.

1. g (-6) means x = - 6 so: g (-6) = 2 (-6) + 5 = - 12 + 5 = - 7

2. f (g (3)) means x = 3 in g (x) and that answer will be used for the value of 'x' in f (x). So, start with g (3) = 2 (3) + 5 = 6 + 5 = 11, now use x = 11 for f (x) : f (11) = 3 (11) - 2 = 33 - 2 = 31