Let ​f(x)equals5xminus1 and ​g(x)equalsx squarednegative 3.

Question

Find ​(fo​g)(5​).

Answer 1

To find (fo​g)(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, (fo​g)(5​) = 109.