Video Transcript
The figure below represents the function π from π₯ to π¦. Find the value of the inverse of π of four.
The function π of π₯ consists of four ordered pairs: four, 13; six, seven; eight, 10; and 10, four. We know that for the inverse of a function, the output becomes the input and vice versa. This means that the inverse of π of π₯ consists of the four ordered pairs: 13, four; seven, six; 10, eight; and four, 10. The π₯- and π¦-values swap.
Weβre trying to find the value of the inverse of π of four. This means that the π₯-value in the ordered pair of the inverse of π of π₯ must be four. The π¦-value that corresponds to this is 10. The inverse of π of four is therefore equal to 10. Alternatively, we couldβve found this value from the figure. The π¦-value of four corresponds to the π₯-value of 10 in the figure. This means that the inverse of π of four must be equal to 10.
