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1. If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?
- A. -7
- B. -7
- C. -7
- D. -7
Answer: Option D
Explanation:
To find the value of f(g(-3)), we'll first find g(-3) and then use the result in the function f(x).
- Calculate g(-3):
g(x) = x² g(-3) = (-3)² g(-3) = 9
- Now that we have g(-3) = 9, substitute this value into the function f(x):
f(x) = 2x - 1 f(g(-3)) = 2(9) - 1
Now, calculate f(g(-3)):
f(g(-3)) = 18 - 1 f(g(-3)) = 17
So, f(g(-3)) = 17.
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