Verified Answer :

It would be: {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Answer:

The function h⁻¹(x) is \(h(x)=\{(-5,3),(-7,5),(-9,6),(-12,10),(-16,12)\}\).

Step-by-step explanation:

If a function is defined as

\(f(x)=\{(x,y):x\in R,y\in R\}\)

Then,

\(f^{-1}(x)=\{(y,x):x\in R,y\in R\}\)

The given function is

\(h(x)=\{(3,-5),(5,-7),(6,-9),(10,-12),(12,-16)\}\)

Interchange the x and y coordinates of each point to find the h⁻¹(x).

\(h(x)=\{(-5,3),(-7,5),(-9,6),(-12,10),(-16,12)\}\)

Therefore the function h⁻¹(x) is \(h(x)=\{(-5,3),(-7,5),(-9,6),(-12,10),(-16,12)\}\).