Which of the following inverse functions are defined for x = - 1/2? select 4 of the following that apply. there must be 4 selections!

,

,

Above four functions are defined at the given point.

Step-by-step explanation:

We have been given all trigonometric function we need to tell which among them is defined for

Case 1:

Since,

Domain of the function is

Defined at given point.

Case 2:

Domain of the function is

Defined at given point.

Case 3:

Value of the function is not defined because it is out of the domain of the function.

Domain is

So, not defined at given point.

Case 4:

Value of the function is not defined because it is out of the domain of the function.

Domain is

So, not defined at given point.

Case 5:

Domain of the function is

Defined at given point.

Case 6:

Domain of the function is

Defined at given point.

Therefore, Option 1,2,5,6 are correct.

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1. B, f(x) = 4 sin x/2 -3

2. C = 1; A = 2; B = 2

3. C, H(t) = -2.4 cos (0.017t) +12

4. A, y = cos ^ -1 x; B, y = cot ^ -1 x; E, y = sin ^ -1 x; F, y = tan ^ -1 x

5. C, y = sin ^1 x

6. C, 48.7*

7. C, f(g(x)) = sec(sin x)

    Domain: all real numbers

    Range: 1 < x < 1.85

8. C, step 3

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the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1