AP EAMCET · Maths · Functions
Let be a function defined by . what is the value of ?
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, f(x)=4x4x+2 We will show that for the given function f(1-x)=1-f(x) f(1-x)=41-x41-x+2 =4·4-x4·4-x+2 =44+2·4x =4x+2-4x2+4x =4x+22+4x-4x2+4x =1-4x2+4x =1-f(x) ⇒f14=f1-34=1-f34 Now, f14+2f12+f34=1-f34+2f12+f34 =1+2f12 =1+2412412+2 =1+2×24 =2
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