All categories

3 years ago

PLEASE HELP!!

Mathematics

1 answer:

Tanya [424]3 years ago

3 0

Answer:

First blank: [-π/2 , π/2]

Second blank: [-π/2 , π/2]

Step-by-step explanation:

The conditions for inverse function to exist is that the function should be one to one function.

A function for which every element of the range of the function corresponds to exactly one element of the domain.

The function can be tested by the vertical line test.

For the given function f(x) = sin x is not one to one function.

so, the domain of the function f(x)=sin x restricted so that its inverse function exists

The domain will be the range provided that when we apply the vertical line test will intersects at only one point

So, the domain will be [-π/2 , π/2]

And this means f(x) = sin⁻¹ x are on the interval [-π/2 , π/2]

You might be interested in

Please help! I need help with this question.

alexgriva [62]

A

...........................

5 0

2 years ago

There are 3 marbles (yellow,blue,and green). You pick a marble and flip a coin. How many outcomes are possible?

Ganezh [65]

There are 3 possibilities for a marble (3 different marbles) and 2 possibilities for a coin (heads or tails). We multiply these to get (3)(2) = 6 outcomes.
---
Hope this helps!
==jding713==

4 0

2 years ago

Read 2 more answers

It is given that f(x) = 2x2 - 12x + 10.

Furkat [3]

Answer:

a = 2, b = - 3, c = - 8

Step-by-step explanation:

Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is

a(x + b)² + c ← expand (x + b)² using FOIL

= a(x² + 2bx + b²) + c ← distribute parenthesis by a

= ax² + 2abx + ab² + c

Compare like terms with f(x) = 2x² - 12x + 10

Compare coefficients x² term

a = 2

Compare coefficients of x- term

2ab = - 12, substitute a = 2

2(2)b = - 12

4b = - 12 ( divide both sides by 4 )

b = - 3

Compare constant term

ab² + c = 10 , substitute a = 2, b = - 3

2(- 3)² + c = 10

18 + c = 10 ( subtract 18 from both sides )

c = - 8

Then a = 2, b = - 3, c = - 8

8 0

2 years ago

6 + ( - 3 ) is ___ units from 6, in the ___ direction.

igor_vitrenko [27]

Answer:

6+(-3) is 3 units from 6 in the right direction

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Enter your answer and show all the steps that you use to solve this problem in the space provided. A.Solve a–9=20 B.Solve b–9&gt

Goryan [66]

Answer:

A) The value of a is 29.

B) The value of b is greater than 29.

C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.

D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

Step-by-step explanation:

Solving for Part A.

Given,

$a-9=20$

We have to solve for a.

$a-9=20$

By using addition property of equality, we will add both side by 9;

$a-9+9=20+9\\a=29$

Hence the value of a is 29.

Solving for Part B.

Given,

$b-9>20$

We have to solve for b.

$b-9>20$

By using addition property of inequality, we will add both side by 9;

$b-9+9>20+9\\b>29$

Hence the value of b is greater than 29.

Solving for Part C.

In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.

Solving for Part D.

The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

5 0

3 years ago