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This question has been answered by 5 people and has an average rating of 4.00 (based on 1 rating)

Indiana Jones is exploring through the Pyramid of Petrification. After wandering through the dark corridors he finally came to hallway with 3 different exits. He then saw a large stone slab covered in mathematical insignia. It read:

To pass through unharmed you must solve this question. Your answer will show you your path and lead you to your fate.

If f(x) = and g(x) = , both defined by their natural domains, which of the following is the domain of f ◦ g?

If you think the answer is , Go back the way you came.

If you think the answer is , go down the left path.

If you think the answer is , go down the right path.

If you think the answer is not given, go through the door in this wall.

Indie stares at the wall, perplexed. He's not very good with functions. What path should he take?

Option | Alternative | First answers |
Confirmed answers |
---|---|---|---|

A |
He should go back. |
0 (0.00%) |
0 (0.00%) |

B |
He should go down the left path. |
1 (20.00%) |
0 (0.00%) |

C |
He should go down the right path. |
0 (0.00%) |
1 (100.00%) |

D |
He should go through the door in the wall. |
4 (80.00%) |
0 (0.00%) |

The following explanation has been provided relating to this question:

The following topics have been indicated as being relevant to this question:

This question requires some knowledge on functions, domains and trigonometry. First step, finding f(g(x)). Basically, we take our function sin(x) and we put in into or f(x) function, replacing . Then you'll have f(x) = . If you know a little about trigonometry, . Therefore, rearranging gives: . So now, we have , which is simply , and the domain of cos(x) = .

Therefore Indie must go down the right path.