Let f:[0,3] A be defined by f(x)=2 x^3-15 x^2+36 x+7 and g:[0, ) B be defined by g (x)= x²⁰²⁵ x²⁰²⁵+1 . If both the functions are onto and S = x Z : x ~A or x ~B , then n ( S ) is equal to :

Question

Quantrex Academy · Accepted Answer

Correct answer: B. 30

as f(x) is onto hence A is range of f(x) aligned & now array l f ^ ( x )=6 x ^2-30 x +36 =6( x -2)( x -3) f (2)=16-60+72+7=35 f (3)=54-135+108+7=34 f (0)=7 array aligned hence range [7,35]= A also for range of g(x) aligned & g(x)=1- 1 x²⁰²⁵+1 [0,1)=B & s= 0,7,8, .35 hence n(s)=30 aligned

Let f:[0,3] A be defined by f(x)=2 x^3-15 x^2+36 x+7 and g:[0, ) B be defined by g (x)= x²⁰²⁵ x²⁰²⁵+1 . If both the functions are onto and S = x Z : x ~A or x ~B , then n ( S ) is equal to :

Options

Correct answer

Step-by-step solution

More from Functions