Question

1. Given the following relation, determine the inverse relation.

a. {(-1,0), (- 4,5), (3,2), (-3,5)}
b. f(x) =x + 3

2. Represent the inverse of the following relation algebraically and graphically.
f(x) = 2x - 4

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Answer 1

1. a

2.
`f^(-1) (x)=(x)/(2) +2`

Explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

`f^(-1) (x)=(x)/(2) +2`