The functions f(x) and g(x) are graphed.

which represents where f(x) = g(x)?

f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)

The given graph shows the relationship between the f(x) and g(x).
Since the problem is to find the points where f(x) becomes equal to g(x) then we will be focusing only to the x-axis and ignore the points of y-axis.

Out of the four choices, the correct answer for the given functions of x will be f(2) = g(2) and f(0) = g(0), f(0) and g(0) is located at the origin. So the points where the curve and line are intersecting is at f(2) and g(2) and the other point is at f(0) and g(0), neglecting the y-axis.

If sin y = 7/q and tan y= 7/r then the value of cos y is

Solution:

The values of sin y and tan y are given as 7/q and 7/r respectively.

We know the relationship between tan cos and sin which is

 --- equation 1

Since we already know the values of sin y and tan y we can easily find the value of cos y by substituting the values in eq1

Taking cos y to the other side of the equal to sign we get

Hence the value of cos y is