If f(x)={x−2,x≤0and4−x2,x>0, then discuss the continuity of y=f(f(x)).

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {f{{({x})}}}={{x}-{2},{x}{0}{{and}}{4}-{x}^{{2}},{x}>{0},.}

Question

If $f (x) = {x - 2, x \leq 0 and 4 - x^{2}, x > 0,$ then discuss the continuity of $y = f (f (x)) .$

Views: 748 students

Found 6 tutors discussing this question

James Discussed

f (x) = {x - 2, x \leq 0 and 4 - x^{2}, x > 0,

then discuss the continuity of

y = f (f (x)) .

5 mins ago

Discuss this question LIVE

5 mins ago

Question Text

f (x) = {x - 2, x \leq 0 and 4 - x^{2}, x > 0,

then discuss the continuity of

y = f (f (x)) .