Final answer:
To find (f o g)(3), we first evaluate g(3) which equals 9, and then substitute this value into f(x) to get f(g(3)) which results in the value 22.
Step-by-step explanation:
The correct answer is option (f ∘ g)(3), which involves the composition of two functions, f(x) and g(x).
First, we evaluate g(3), which is the function g(x) = x2 with x replaced by 3. Doing this, we get:
g(3) = 32 = 9
Next, we find f(g(3)) by substituting g(3) into the function f(x), which is f(x) = 3x - 5. So:
f(g(3)) = f(9) = 3(9) - 5 = 27 - 5 = 22
Therefore, the correct value for (f ∘ g)(3) is 22.
The correct answer is option b. y = x².
To find (f o g)(3), we need to substitute g(x) = x² into f(x). So, (f o g)(x) = f(g(x)) = f(x²).
Substituting x = 3 into g(x) = x², we get g(3) = (3)² = 9. Now, substitute g(3) = 9 into f(x) = 3x - 5 to find (f o g)(3).
(f o g)(3) = f(g(3)) = f(9) = 3(9) - 5 = 27 - 5 = 22.