Let f(x)equals5xminus1 and g(x)equalsx squarednegative 3.
Find (fog)(5).
To find (fog)(5), we first need to find g(5) and then plug that result into f(x).
First, find g(5):
g(x) = x^2 - 3
g(5) = 5^2 - 3
g(5) = 25 - 3
g(5) = 22
Now, plug g(5) into f(x):
f(x) = 5x - 1
f(g(5)) = 5(22) - 1
f(g(5)) = 110 - 1
f(g(5)) = 109
Therefore, (fog)(5) = 109.