Question:
If f(x)=x-5, and f2(x)=f(f(x)), f3(x)=f(f(f(x))) and so on, then find the value of f8(9).
If f(x)=x-5, and f2(x)=f(f(x)), f3(x)=f(f(f(x))) and so on, then find the value of f8(9).
Updated On: Aug 31, 2024
- -39
- -26
- -36
- -31
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The Correct Option is D
Solution and Explanation
f(x) =x-5
So, f2 (x)=(x-5)-5=x-10
Similarly, f3 (x)=x-15
So, f8 (x)=x-40
Now, f8 (9)=9-40 =−31
So, the correct option is (D): -31
So, f2 (x)=(x-5)-5=x-10
Similarly, f3 (x)=x-15
So, f8 (x)=x-40
Now, f8 (9)=9-40 =−31
So, the correct option is (D): -31
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