Question

The function h(x) is given below.

Answer 1

B.) {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)} 

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Answer 2

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

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

If coordinates of a function is defined as (x,y), then the coordinates of its inverse is defined as (y,x).

$(x,y)\rightarrow (y,x)$

$(3,-5)\rightarrow (-5,3)$

$(5,-7)\rightarrow (-7,5)$

$(6,-9)\rightarrow (-9,6)$

$(10,-12)\rightarrow (-12,10)$

$(12,-16)\rightarrow (-16,12)$

The inverse of the given function is

h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Therefore option 2 is correct.