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4 years ago

Which function has an inverse that is not a function?

Mathematics

1 answer:

Alekssandra [29.7K]4 years ago

6 0

Answer:

your choice is correct

Step-by-step explanation:

f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.

_____

Comment on the graph

The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.

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I need desperate help PLEASE!!!

koban [17]

Answer:

OPTION B

OPTION D

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) {(3,7), (3,6), (5,4), (4,7)}

Here, the element '3' in the domain is mapped to two elements 7 and 6. So, it is not a function.

B) {(1,5), (3,5), (4, 6), (6,4)}

This is a function because all the elements in the domain have a unique image in the co-domain. So, this is a function.

C) {(2,3), (4,2), (4,6), (6,4)}

Here, the element '4' in the domain is again mapped to two different elements. Hence, it cannot be a function.

D) {(0,4), (3,2), (4,2), (6,5)}

This is again a function. Because the domain is mapped to unique elements. So, this is a function.

4 0

3 years ago

A container holds 10 quarts of water. How much is this in gallons? Write your answer as a whole number or a mixed number in simp

gizmo_the_mogwai [7]

2 gallons and 2 quarts

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3 years ago

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Black_prince [1.1K]

absolute value is always positive

7 0

4 years ago

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The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do

aniked [119]

Answer:

1782 cm³

Step-by-step explanation:

First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.

Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³

4 0

3 years ago

If a = 2^3 x 3^7 x 5^3 x 11^4 and b = 2^2 x 3^9 x 7^2 x 11 x 13, find the following: A. GCF (a, b) B. LCM (a, b)

timofeeve [1]

Answer:

A. GCF(a,b) = $2^2 \times 3^7 \times 11$

B. LCM(a,b) = $2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13$

Step-by-step explanation:

The GCF of two or more integers is their greatest common factor. In order to find it, you must factorise them first and then do the product of the factors that appear in all the factorisations, with their least exponent.

Hence, the GCF of $a$ and $b$ is $2^2 \times 3^7 \times 11$ .

The LCM of two or more integers is their least common multiple. In order to find it, you must factorise them first and then do the product of the multiples that appear in one or all the factorisations, with their greatest exponent.

Hence, the LCM of $a$ and $b$ is $2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13$

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3 years ago