type the correct answer in each box. use numerals instead of words. the points (-3,4) and (5,-2) are on the…

type the correct answer in each box. use numerals instead of words. the points (-3,4) and (5,-2) are on the graph of function f. if function g is the inverse of function f, what pair of points are on function g? type the point with the lower x - value first. ( ) and ( )
Answer
Explanation:
Step1: Recall inverse - function property
If ((a,b)) is on (y = f(x)), then ((b,a)) is on (y = g(x)) (where (g) is the inverse of (f)).
Step2: Find the points on (g) for ((-3,4)) on (f)
For the point ((-3,4)) on (f), the corresponding point on (g) is ((4,-3)).
Step3: Find the points on (g) for ((5,-2)) on (f)
For the point ((5,-2)) on (f), the corresponding point on (g) is ((-2,5)).
Step4: Compare (x) - values
Since (-2<4), the point with the lower (x) - value is ((-2,5)) and the other is ((4,-3)).
Answer:
((-2,5)) and ((4,-3))