Final answer:
To find (f g)(10), we first calculate g(10) which is 98, and then raise 98 to the fourth power to get f(g(10)).
Step-by-step explanation:
The student is asking to find and simplify the function (f g)(10), given two functions f(x)=x⁴ and g(x)=x²-2. To find (f g)(10), we first need to evaluate g(10) and then apply the result to function f.
The calculation for g(10) is 10² - 2 = 100 - 2 = 98. After computing g(10), we then substitute this result into f, giving us f(98), which is 98⁴. Simplifying this, we obtain f(g(10)) = (98⁴), which is a large number.