Answer :
Final answer:
To find f(g(13)), plug 13 into the g(x) function and then plug the result into the f(x) function. The value of f(g(13)) is 339.
Explanation:
To find f(g(13)), we need to plug 13 into the g(x) function first, and then plug the result into the f(x) function.
First, let's find g(13):
g(x) = x^2 - 1
g(13) = (13)^2 - 1
g(13) = 169 - 1
g(13) = 168
Now we can find f(g(13)):
f(x) = 2x + 3
f(g(13)) = 2(168) + 3
f(g(13)) = 336 + 3
f(g(13)) = 339
The value of f(g(13)) is 339, so the correct answer is (d) 202.
