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!

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

christopher is 272,195 year old

step-by-step explanation: