Let `f(x) = e^x; R-> R and g(x) = sin;[-pi/2,pi/2]->[-1,1].` Find domain and range of fog(x)

Let f(X)=e^(x),R^(+)toR and g(x)=sinx,[-(pi)/2,(pi)/2]to[-1,1] Find domain and range of fog(X)

Let f(X)=e^(x),R^(+)toR and g(x)=sinx,[-(pi)/2,(pi)/2]to[-1,1] Find domain and range of fog(X)

f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog (x) and gof(x)

If f(x)=ln(x^(2)-x+2);R^(+)rarr R and g(x)={x}+1;[1,2]rarr[1,2], Find the domain and range of f(g(x)) when defined.

f(x)=e^(x):R^(+)rarr R and g(x)=x^(2)-x:R rarr R Find domain and range of fog (x) and fog(x)

f(x) = |x-1|, f: R^+->R, g(x) = e^x, g:[-1,oo)->R . If the function fog(x) is defined, then it domain and range respectively are:

Let f : R^+ ->R be defined as f(x)= x^2-x +2 and g : [1, 2]->[1,2] be defined as g(x) = [x]+1. Where [.] Fractional part function. If the domain and range of f(g(x)) are [a, b] and [c, d) then find the value of b/a + d/c.

If f(x)=cot^-1 x ; R^+ -> (0,pi/2) and g(x)=2x-x^2 ; R-> R . Then the range of the function f(g(x)) where verdefined is

Define fog(x) and gof(x). Also find their domain and range. f(x) = tan x, x in (-pi/2, pi/2); g(x) = sqrt(1-x^2)