Question

Given that g(x) = 3/(x + 2), x≠-2 and f(x) = 3x - 2, evaluate gf(2)

Answer 1

g(f(2)) =
`(1)/(2)`

Explanation:

evaluate f(2) , then substitute the value obtained into g(x)

f(2) = 3(2) - 2 = 6 - 2 = 4 , then

g(4) =
`(3)/(4+2)` =
`(3)/(6)` =
`(1)/(2)`