Question

if ( f(x)=3x - 1 ) and ( g(x)=x + 1 ), find ( (fg)(x) )
write out the two functions you are multiplying (use parentheses):
( f(x) ) ( g(x) )
( (3x - 1) ) ( (x + 1) )
mutiply by using either the box method or distribution method (2 points):
product (order from greatest to smallest degree):
( 3x^{2}+2x - 1 )

Explanation:

Step1: Multiply using distribution method

$$(3x - 1)(x + 1)=3x\times x+3x\times1-1\times x - 1\times1$$

Step2: Simplify each term

$$3x^{2}+3x - x - 1$$

Step3: Combine like terms

$$3x^{2}+(3x - x)-1=3x^{2}+2x - 1$$

Answer:

$3x^{2}+2x - 1$