50 Points!

Let f(x) = x+3 and g(x)= 1/x. What are the domain and range of f(g(x))? What are the domain and range of g(f(x))?

Step-by-step explanation:

f(g) = g+3 = 1/x + 3 = (3x+1)/x

so, domain is all reals except x=0, range is all reals

g(f) = 1/f = 1/(x+3)

so, domain is all reals except x = -3, range is all reals

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24