If f(x)=cos²x+cos²(60⁰+x) + cos²(60⁰-x) and g(3/2)=5 then gof(x)=

Let f(x)=-2sinx, if x≤-π/2; f(x)=a sinx+b,if –π/2<x<π/2; f(x)=cosx, if x≥π/2. The values of a and b so that f(x) is continuous everywhere are

The domain of √[x-1/2-x] is

If f_n(x)= (tan x/2)(1+sec x)(1+2 sec x)…….(1+sec 2ⁿ x) then the following is not true?

The range of f(x)=10- |3-2x| is

Domain of log(x-2)/√3-x is

If A={1,2, 3}, B= {a, b, c, d}, f={(1,a), (2, b), (3, d)}, then f is

The function y=f(x) satisfying the condition f(x+1/x)=x³+1/x³ is

If f: R-{5/2}→R-{-1} defined by f(x)=2x+3/5-2x then f^-1(x)=

If f(x)=3x-7/5x-3 then (fof)(x)=