To find f(g(x)), we need to first calculate g(x) and then substitute it into the function f(x).
Given:
- f(x) = 2x + 5
- g(x) = 4x + 1
Let’s find g(x):
- g(x) = 4x + 1
Now, we substitute g(x) into f:
- f(g(x)) = f(4x + 1)
- = 2(4x + 1) + 5
- = 8x + 2 + 5
- = 8x + 7
Now, we compare this result with the provided options:
- a) 2x + 6
- b) 2x + 4
- c) 6x + 4
- d) 2x + 6
None of the options match 8x + 7, which is our calculated result.
Thus, the correct expression for f(g(x)) is not listed among the given options.