f(x) = 2x - 1
g(x) = 5 - 3x
Find (fog)(x)
To find (fog)(x), we need to substitute g(x) into f(x).
First, let's find g(x):
g(x) = 5 - 3x
Now, substitute g(x) into f(x) where you see x:
f(g(x)) = 2(g(x)) - 1
Next, substitute the expression for g(x) into f(x):
f(g(x)) = 2(5 - 3x) - 1
Now, perform the operation inside the parentheses:
f(g(x)) = 10 - 6x - 1
Finally, combine like terms:
f(g(x)) = -6x + 9
Therefore, (fog)(x) = -6x + 9.