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If `f(x)={(x^(2)",","for "x ge0),(x",","for "x lt 0):}`, then fof(x) is given byA. `x^(2) " for " x ge 0, x " for " x lt 0`B. `x^(4) " for " x ge 0, x^(2) " for " x lt 0`C. `x^(4) " for " x ge 0, -x^(2) " for " x lt 0`D. `x^(4) " for " x ge 0, x " for " x lt 0` |
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Answer» Correct Answer - D `f(f(x))={((f(x))^(2)",", "for " f(x) ge 0),(f(x)",","for " f(x) lt 0):}` `={((x^(2))^(2)","x^(2) ge 0"," x ge 0),(x^(2)","x ge 0"," x lt 0),(x^(2)"," x^(2) lt 0"," x ge 0),(x"," x lt 0"," x lt 0):}` `={(x^(4)","x ge 0),(x","x lt 0):}` |
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