Inverse of a Function

JEE Main Mathematics · Relations and Functions · 2 questions, latest first

• For the function f:[1, ∞) →[1, ∞) defined by f(x)=(x-1)^4+1, among the two statements: (I) The set S={x ∈[1, ∞): f(x)=f^-1(x)}…20264 April, Shift 2 · Q1
• For some a, b, c ∈ N, let f(x)=a x-3 and g(x)=x^b+c, x ∈ R. If (f ° g)^-1(x)=((x-7)/2)^1 / 3, then (f ° g)(a c)+(g ° f)(b) is…202325 January, Shift 1 · Q81