Function `f(x), g(x)` are defined on `[-1, 3] and f''(x) > 0, g''(x) > 0` for all `x in [-1, 3]`, then which of the followingis always true ?

Function f and g defined on R-{0}rarrR as f(x)=x and g(x)=1/x" then "f.g(x) = ...... .

If f(x) and g(x) are two positive and increasing functions,then which of the following is not always true? [f(x)]^(g(x)) is always increasing [f(x)]^(g(x)) is decreasing, when f(x) 1. If f(x)>1, then [f(x)]^(g(x)) is increasing.

If f(x)=(x+3)/(5x^2+x-1)&g(x)=(2x+3x^2)/(20+2x-x^2) such f(x)a n dg(x) are differentiable functions in their domains, then which of the following is/are true f(2)+g(1)=0 (b) f(2) - g(1)=0 1f(1)+g(2)=0 (d) f(1) - g(2)=0

If f(x)a n dg(x) are two positive and increasing functions, then which of the following is not always true? [f(x)]^(g(x)) is always increasing [f(x)]^(g(x)) is decreasing, when f(x) 1. If f(x)>1,t h e n[f(x)]^(g(x)) is increasing.

Functions f,g:RtoR are defined ,respectively, by f(x)=x^2+3x+1,g(x)=2x-3, find fog

Functions f,g:RtoR are defined ,respectively, by f(x)=x^2+3x+1,g(x)=2x-3, find fof .

If the functions of f and g are defined by f(x) = 3x-4, g(x) = 2+3x for x in R respectively, then g^(-1)(f^(-1)(5))=

Consider f g and h are real-valued functions defined on R. Let f(x)-f(-x)=0 for all x in R, g(x) + g(-x)=0 for all x in R and h (x) + h(-x)=0 for all x in R. Also, f(1) = 0,f(4) = 2, f(3) = 6, g(1)=1, g(2)=4, g(3)=5, and h(1)=2, h(3)=5, h(6) = 3 The value of f(g(h(1)))+g(h(f(-3)))+h(f(g(-1))) is equal to

Functions f,g:RtoR are defined ,respectively, by f(x)=x^2+3x+1,g(x)=2x-3, find gof .

Functions f,g:RtoR are defined ,respectively, by f(x)=x^2+3x+1,g(x)=2x-3, find gog .