Find (gOf) (3)

f (x) = 3x-2

g (x) = x^2

F (x) = 3x-2

g (x) = x^2

(g o f) (3) = ?

(g o f) (3) = g (f (3))

x=3→f (3) = 3 (3) - 2

f (3) = 9-2

f (3) = 7

(g o f) (3) = g (f (3)) = g (7)

x=7→g (7) = 7^2

g (7) = 49

Answer: (g o f) (3) = 49

For this case, the first thing we must do is the composition of functions.

We have:

f (x) = 3x-2

g (x) = x ^ 2

(gOf) (x) = (3x-2) ^ 2

We now evaluate the function:

(gOf) (3) = (3 * (3) - 2) ^ 2

(gOf) (3) = (9-2) ^ 2

(gOf) (3) = (7) ^ 2

(gOf) (3) = 49

Answer:

(gOf) (3) = 49