Question

If f(x) = x2 + x and g(x) = x - 3, find f(g(7)).
53
32
28
20

Answer 1

If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7). That means that we put 7 in for x in the g function and come up with a solution to that first.

If g(x) = x - 3, then g(7) = 7 - 3 which is 4. Now take that 4 and put it in for x in the f function:

f(4) = which is 16 + 4 which is 20

Therefore, f(g(7)) = 20

Explanation:

Answer 2

Explanation:

If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7). That means that we put 7 in for x in the g function and come up with a solution to that first.

If g(x) = x - 3, then g(7) = 7 - 3 which is 4. Now take that 4 and put it in for x in the f function:

f(4) =
`(4)^2+4` which is 16 + 4 which is 20

Therefore, f(g(7)) = 20