For this case, what you should see is where the graph cuts the x-axis. Notice that the graph cuts to the x axis in three different points. Then the value of x that is in the domain of the function in this case is: x = 1 For this value of x the function is zero. Answer: x = 1
Explanation: We are looking for f(x) = 0, this means that we are looking for the x-value that has a y-value = 0. The points having y=0 are located directly on the x-axis.
Taking a look at the graph, we can find that we have 3 points with a y-0 value, these points are (-2.5,0) , (-0.5,0) and (1,0) This means that the values of x having f(x) = 0 are -2.5, -0.5 and 1. Checking the choices, we would find that we have a choice x=1 which would be the correct one.
Then we will multiply both sides of the equation by 2 π : x + π ( 1 - x ) = 0 x + π - π x = 0 x ( 1 - π ) = - π / · ( - 1 ) x ( π - 1 ) = π x = π / ( π - 1 )
