The function h(x) is given below.

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

which of the following gives h^-1 (x)?

a. {(3 5), (5, 7), (6, 9), (10, 12), (12, 16)}
b. {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
c. {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
d. {(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Option (b) is the correct answer.

Step-by-step explanation:

Set of first element of ordered pair is called domain and the set of second element of ordered pair is called co-domain.

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

When we have to write the inverse of such type of functions then domain changes into co-domain and vice versa. This means that values at y coordinate will come in place of x coordinate and vice versa.

Therefore, inverse of h(x) = {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}.

Thus, we can conclude that out of the given options, (b) {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)} displays the correct answer.

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step-by-step explanation:

because that's the answer