For f(x)=3x+1 and g(x)=x^2-6, find (f o g)(4)

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. 31