JEE Main 2016 Mathematics question
If , x ≠ 0, and S = {x ∈ R : f(x) = f(–x)}; then S :
Answer: (C)
Solution
Replacing x by 1/x and solving gives . Then f(x) = f(−x) gives , i.e. , so S = {√2, −√2}.
If , x ≠ 0, and S = {x ∈ R : f(x) = f(–x)}; then S :
Replacing x by 1/x and solving gives . Then f(x) = f(−x) gives , i.e. , so S = {√2, −√2}.