Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x)) = x
f(g(x)) = x and g(f(x)) = –x
f(g(x)) = g(f(x)
f(g(x)) = x and g(f(x)) = x

f(g(x))=x and g(f(x))= x

Step-by-step explanation:

statement verifies that f(x) and g(x) are inverses of each other

f(X) and g(x) are inverse to each other

For example

f(x) = x + 5

Inverse of f(x) : y=x+5

Replace x with y and y with x

x = y +5

Subtract 5 from both sides

x - 5 = y

So the inverse g(x) = x-5

f(x) = x+5   and g(x)= x-5

So, f(g(x))=x and g(f(x))= x

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

the answer is  

a.

4,624π mm2

step-by-step explanation: