Respuesta :
To find (f o g)(4), we must substitute 4 into the equation as shown below.
(f o g)(4) = f(g(4))
This means that we must first compute for the value of g(4) where g(x) = x² - 6. So, we have g(4) = 4² - 6 = 16 - 6 = 10. So, we have
(f o g)(4) = f(g(4)) = f(10)
Using the same steps, we have f(10) = 3(10) + 1 = 31.
Therefore, the value of (f o g)(4) = 31.
Answer: 31