Question

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 (□,□)
reset next

Explanation:

Step1: Recall inverse function point property

If \( g \) is the inverse of \( f \), then if \( (a,b) \) is on \( f \), \( (b,a) \) is on \( g \).

Step2: Apply to first point \((-3,4)\)

For point \((-3,4)\) on \( f \), the corresponding point on \( g \) is \((4, - 3)\) (swap \( x \) and \( y \) coordinates).

Step3: Apply to second point \((5,-2)\)

For point \((5,-2)\) on \( f \), the corresponding point on \( g \) is \((-2,5)\) (swap \( x \) and \( y \) coordinates).

Step4: Order points by \( x \)-value

Compare \( x \)-values of \((4,-3)\) and \((-2,5)\). The \( x \)-value of \((-2,5)\) is \(-2\) and of \((4,-3)\) is \(4\). So the point with lower \( x \)-value \((-2,5)\) comes first, then \((4,-3)\).

Answer:

\((-2, 5)\) and \((4, -3)\)