Let $ f $ be a function on $ z $ defined by: $(x, y) \in f $ iff $ y = -3x + 7 $.

Which one of the following alternatives represents $ f \circ f(x) $ (i.e., $ f(f(x)) $)?

Select one:

A. $ 9x^2 - 42x + 49 $

B. $ 9x - 21 $

C. $ 9x^2 - 42x + 49 $

D. $ 9x - 14 $

The function f is defined by y = -3x + 7. If we want to find f(f(x)), we replace x in the function with f(x) itself, that means we replace x with (-3x + 7), which gives: y = -3(-3x + 7) + 7

After simplification, you'll find that the function is y = 9x - 14. So the correct answer should be option d: 9x - 14.

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Let \( f \) be a function on \( z \) defined by: \((x, y) \in f \) iff \( y = -3x + 7 \).Which one of the following alternatives represents \( f \circ f(x) \) (i.e., \( f(f(x)) \))?Select one:A. \( 9x^2 - 42x + 49 \)B. \( 9x - 21 \)C. \( 9x^2 - 42x + 49 \)D. \( 9x - 14 \)

Answer :

Final answer:

Explanation:

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Other Questions

Let \( f \) be a function on \( z \) defined by: \((x, y) \in f \) iff \( y = -3x + 7 \).

Which one of the following alternatives represents \( f \circ f(x) \) (i.e., \( f(f(x)) \))?

Select one:

A. \( 9x^2 - 42x + 49 \)

B. \( 9x - 21 \)

C. \( 9x^2 - 42x + 49 \)

D. \( 9x - 14 \)