1 point If f(x)=x3,f(x)=x3, then which of the following options is the set of points where the graphs of the functions f(x)f(x) and f−1(x)f−1(x) intersect each other? {(−1,1),(0,0),(1,−1)(−1,1),(0,0),(1,−1)} {(−2,−8),(1,1),(2,8)(−2,−8),(1,1),(2,8)} {(−1,−1),(0,0),(1,1)(−1,−1),(0,0),(1,1)} {(−2,−8),(0,0),(2,8)(−2,−8),(0,0),(2,8)
Answers
Answer:
Step-by-step explanation:
Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1. First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).
We calculate the point of intersection by solving the equation f(x) = g(x). That is:
2x − 1 = x + 1
2x − x = 1 + 1
x = 2
The y coordinate can now be found by calculating f(2):
f(2) = 2×2 − 1 = 3
The point of intersection is (2, 3).
The example shows that we can find the point of intersection in two ways.
Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.
Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.
Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and