If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fxg)(x)?

The quick answer I think will help you in the long run is that (f*g)(x) is just another way of saying f(x)*g(x). If that is enough, then ignore the rest of my response. Otherwise, keep reading.

For this problem

Step-by-step explanation:(f*g)(x) = f(x)*g(x)

You are given f(x) = 3x + 2 and g(x) = x^2 + 1. Simply substitute these expressions as follows:

  f(x)*g(x) = (3x + 2)*(x^2 + 1)

Notice how I put each expression in parentheses. This practice will help immensely when dealing with more complicated expressions like this. Next, we simplify:

  (3x + 2)*(x^2 + 1) = (3x)(x^2) + (3x)(1) + (2)(x^2) + (2)(1) <-- the foil method

                               =     3x^3    +     3x    +   2x^2    +    2     <-- simplify each term

                               = 3x^3 + 2x^2 + 3x + 2                           <-- reorganize and group like terms

hope this helped!

y + 11 = (1/4)(x + 16)

step-by-step explanation: