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If f(x) = 6x - 4 and g(x) = 2x^3, find g(3) - f(4)

2 Answers

3 votes

Final answer:

Evaluating g(3) and f(4) with their respective function definitions, g(3) = 54 and f(4) = 20. Subtracting these gives g(3) - f(4) = 34, which is the final answer.

Step-by-step explanation:

To find g(3) - f(4), we need to evaluate each function separately with the given inputs and then find the difference between the two results.

First, let's evaluate g(3):

  • g(x) = 2x^3
  • g(3) = 2(3)^3
  • g(3) = 2(27)
  • g(3) = 54

Now, let's evaluate f(4):

  • f(x) = 6x - 4
  • f(4) = 6(4) - 4
  • f(4) = 24 - 4
  • f(4) = 20

Finally, we subtract f(4) from g(3):

  • g(3) - f(4) = 54 - 20
  • g(3) - f(4) = 34

The result of g(3) - f(4) is 34.

User Jluk
by
8.5k points
3 votes

To solve the problem, simply plug in the value for x in both functions, as shown below:


f(4) = 6(4) - 4

-->
f(3) = 24 - 4

--->
f(3) = 20



g(3) = 2(3)^3

-->
g(3) = 2 * (3^3)

--->
g(3) = 2 * 27

---->
g(3) = 54



g(3) - f(4) = 54 - 20, so the answer is 34.

User Creednmd
by
7.5k points

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