Let f ( x ) = { − a x + a if if − a ≤ x ≤ 0 0 0 and g ( x ) = ( f ( x ∣ ) − ∣ f ( x ) ∣ ) /2 . Then the function g : [ − a , a ] → [ − a , a ] is

Question

Let f ( x ) = { − a x + a ​ if if ​ − a ≤ x ≤ 0 0 < x ≤ a ​ where a > 0 and g ( x ) = ( f ( x ∣ ) − ∣ f ( x ) ∣ ) /2 . Then the function g : [ − a , a ] → [ − a , a ] is

TestHub · Accepted Answer

y = f ( x ) y = f ∣ x ∣ y = ∣ f ( x ) ∣ g ( x ) = 2 f ( ∣ x ∣ ) − ∣ f ( x ) ∣ ​

Mathematics - Functions Question with Solution | TestHub

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