The result function of (fog)(x) in the given functions is 3x² - 1.
What is the result function of (fog)(x)?
Given the functions in the questions;
- fx(x) = 3x - 1
- g(x) = x²
- (fog)(x) = ?
Set up the composite result function and simplify.
(fog)(x) = f(g(x) = f(x²)
Evaluate f(x²) by substituting in the value of g into f
fx(x) = 3x - 1
f(x²) = 3(x²) - 1
Now, simplify
f(x²) = 3(x²) - 1
f(x²) = 3x² - 1
Therefore the result function of (fog)(x) in the given functions is 3x² - 1.
Learn more about composite function here: https://brainly.com/question/20379727
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