If f(x) = 2x + 3 and g(x) = x – 5, what is f○g?Question 1Select one:a.2x - 5b.2x – 7c.2x – 10d.2x - 15e.None of these
Question
If f(x) = 2x + 3 and g(x) = x – 5, what is f○g?
Question 1
Select one:
a. 2x - 5
b. 2x – 7
c. 2x – 10
d. 2x - 15
e. None of these
Solution
To find f○g, we need to substitute g(x) into f(x).
First, let's substitute g(x) into f(x):
f(g(x)) = 2(g(x)) + 3
Next, let's substitute the expression for g(x):
f(g(x)) = 2(x - 5) + 3
Now, let's simplify the expression:
f(g(x)) = 2x - 10 + 3
f(g(x)) = 2x - 7
Therefore, the answer is 2x - 7.
The correct option is b. 2x - 7.
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