Answer:
The answer is C - 24x^2 + 6x.
Step-by-step explanation:
Since f(x) = 6x and g(x) = 4x + 1, 6x can be substituted for f and 4x + 1 can be substituted for g in the equation (f*g)(x). Keep in mind that the x only states that the (f*g) is a function of x (meaning that it changes depending on the value of x) and is not involved in the actual calculation. After substituting 6x for f and 4x + 1 for g all that is left is to multiply 6x by 4x + 1. This can be done by using the distributive property, which involves multiplying all values in a multiplication equation by each other and adding the final values together. In the case of (6x)(4x + 1), multiplying 6x by 4x will give 24x^2 and multiplying 6x by 1 will give 6x. All that is left after that is to add 24x^2 by 6x which will grant the final answer of 24x^2 + 6x.
