Click text to edit
Add a note to this section
Passage Tools
SHOW
HIDE
- Calculator
- Flag
-
Given that f(x) = 3x – 5 and g(x) = x3 – x, what is f(g(2))?
Title
Composition with Cubic
Your Result
Correct
Difficulty
Medium
Your Pace
0:01
Others' Pace
0:45
Video Explanation
Text Explanation
Since g(x) is inside f(x), we first have to plug x = 2 into g(x), and then the output of g(2) will be the input of f(x).
g(x) = x3 – x
g(2) = (2)3 – 2 = 8 – 2 = 6
That's the output of g(2), so that's what we plug into f(x).
f(g(2)) = f(6) = 3(6) – 5 = 18 – 5 = 13
Answer = (D)
Related Lessons
Watch the lessons below for more detailed explanations of the concepts tested in this question. And don't worry, you'll be able to return to this answer from the lesson page.
