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Sedbober [7]
2 years ago
15

If h (x) = {(-2,3), (0,4), (1,6), (2, 9)} then what set of values represent h-1 (x) ?

Mathematics
1 answer:
vfiekz [6]2 years ago
7 0

Answer:

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

Step-by-step explanation:

Given: h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

To find: h^{-1}(x)

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

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Answer:

181 penguins on the last day of June.

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Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.  

First of all we need to find number of days in January to June.    

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

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We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is 181+62=243.

243rd day would be 31st August.

Now, we will add 7 days to 243 days to get 250th day.

Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.

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