Find (f°g)(2) when f(x)=5x+9 and g(x)=1/x
Thanks
To find (f°g)(2), we need to evaluate the composite function f(g(x)) at x = 2.
First, let's find g(2) by substituting x = 2 into the function g(x):
g(2) = 1/2
Now, substitute g(2) into f(x):
f(g(2)) = f(1/2)
To complete the calculation, substitute 1/2 into the function f(x):
f(1/2) = 5(1/2) + 9
Simplify:
f(1/2) = 5/2 + 9
Add the fractions:
f(1/2) = 5/2 + 18/2
f(1/2) = 23/2
Therefore, (f°g)(2) = f(g(2)) = f(1/2) = 23/2.