Question

F(x) = 3x - 2

g(x) = x + 3
Find (f.g)(x).
O 3x^3+ 7x^2 - 6x
-
O 3x^2 + 11x – 6
O 3x^2 + 7x – 6
O3х^2 – 6

Answer 1

the third option

Explanation:

it is simple :

for the sum of 2 functions we need to sum the functional expressions.

for the product of 2 functions we need to multiply the functional expressions.

...

so,

(f.p)(x) = (3x - 2)(x + 3)

remember, when we multiply 2 expressions, then we have to multiply every term of one expression with every term of the other expression and sum up all the individual results (while considering the right signs, of course).

(3x - 2)(x + 3) = 3x² + 9x - 2x - 6 = 3x² + 7x - 6