Final answer:
To find (f∘g)(3), substitute 3 into g(x)=x² to get g(3)=9, then substitute 9 into f(x)=3x-5 to get (f∘g)(3)=22.
Step-by-step explanation:
To find (f∘g)(3), we need to calculate f(g(3)). This means we substitute the value of 3 into the function g first, and then substitute the result into the function f.
First, we evaluate g(3). Since g(x) = x², substituting 3 gives us g(3) = 3² = 9.
Next, we substitute 9 into the function f(x) = 3x - 5. Evaluating f(9) gives us f(9) = 3(9) - 5 = 27 - 5 = 22. Therefore, (f∘g)(3) = 22.