Continuity of Composite Functions

JEE Main Mathematics · Continuity and Differentiability · 2 questions, latest first

• Let f(x)= {x^3+8; x<0, x^2-4; x ≥ 0,} and g(x)= {(x-8)^1 / 3; x<0, (x+4)^1 / 2; x ≥ 0.} Then the number of points, where the…20266 April, Shift 2 · Q25
• Let f and g be two functions defined by f(x)={ x+1, x<0; |x-1|, x ≥ 0 and g(x)= {x+1, x<0; 1, x ≥ 0}. Then (g ° f)(x) is202311 April, Shift 2 · Q10