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Find the (f of f) (0) f(x)=3x-2

2 Answers

2 votes

Final answer:

To find (f of f)(0), substitute the value of f(0) into the function and evaluate.

Step-by-step explanation:

To find (f of f)(0), we need to first find f(f(0)). Given that f(x) = 3x - 2, let's substitute f(0) into the function.



  1. f(0) = 3(0) - 2 = -2
  2. Now, let's substitute this value into the function again:
  3. f(f(0)) = f(-2) = 3(-2) - 2 = -8



Therefore, (f of f)(0) is equal to -8.

User Ancab
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6 votes
First write (f o f)(x). This calls for us to use f(x) = 3x-2 as the input to f(x).

f(x) = 3x - 2 => f( ) = 3( ) - 2 Now subst. f(x) inside both sets of parentheses:

f(f(x)) (f o g)(x) = 3(3x-2) -2 = 9x - 6 - 2 = 9x - 8 (answer)
User Akshit Rewari
by
5.7k points
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