If `f: RvecR ,g(x)=f(x)+3x-1,` then the least value of function `y=g(|x|)` is a. -9/4 b. -5/4 c. -2 d. -1

Let f(x)=x^2-2x-1 AA xinR Let f:(-oo, a]->[b, oo) , where a is the largest real number for which f(x) is bijective. If f : R->R , g(x) = f(x) + 3x-1 , then the least value of function y = g(|x|) is

If f: RvecR is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then the value of x such that g(f(x))=8 a, 1,2 b. -1,2 c. -1,-2 d. 1,-2

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is

The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime)(x^2) for all real xdot Given that f(1)=1 and f^(1)=8 , then the value of f^(prime)(1)+f^(1) is 2 b. 4 c. 6 d. 8

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot