Which of the following pairs of function have same graphs: `f(x) = e^(ln(x^2 + 3x + 3)) , g(x) = x^2 +3x +3`

Which of the following pair(s) of function have same graphs?(B) f(x)=sgn(x^(2)-4x+5),g(x)=sgn(cos^(2)x+sin^(2)(x+(pi)/(3))) where sgn denotes signum function

Which of the following pair(s) of function have same graphs? (D) f(x)=(sec x)/(sec x)+(cos x)/(cos ecx),g(x)=(2cos^(2)x)/(cot x)

11. Which of the following pairs are equal functions? 1. f(x)=log_e x^2,x>0,g(x)=2log_2 x,x>0 2.f(x)=1/x^2,x!=0,g(x)=1/(|x|^2),x!=0 3.f(x)=x^2/x,g(x)=x 4.f(x)=|x|,g(x)=x

Are the following functions identical ? f(x) = log ( x-2) + log (x-3) and phi (x) log (x-2) (x-3)

Prove that the following functions do not have maxima or minima:(i) f (x) = e x (ii) g(x) = log x (iii) h(x)=x^3+x^2+x+1

Which of the following pairs of expression are defined for the same set of values of x?f_(1)(x)=2log_(2)x and f_(2)(x)=log_(10)x^(2)f_(1)(x)=log_(x)x^(2) and f_(2)(x)=2f_(1)(x)=log_(10)(x-2)+log_(10)(x-3) and f_(2(x))=log_(10)(x-2)(x-3)

Which of the following function is non- differentiable in domain? f(x)=(x-2)/(x^(2)+3) (b) f(x)=log|x|f(x)=x^(3)log x(d)f(x)=(x-3)^((3)/(5))

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]