Me with these 3 questions

***brainliest**

Step-by-step explanation:

Left Frame

f(x) is a horizontal line from x = 1 to x = 3. So the y values are the same in that interval.

when y = 1, x = 3

so f(3) = 1

The answer is III

Question Second from the right

The trick is to get the denominator so it is not a complex number. You do that by multiplying by the conjugate which is 8 - 2i. If you do that to the denominator, you must do it to the numerator.

Denominator: (8 + 2i)(8 - 2i) = 64 - 16i + 16i - 4i^2

Denominator: 64 + 4

Denominator: 68

Numerator: (3 - 5i)(8 - 2i)

Numerator: 24 - 6i - 40i + 10*i^2

Numerator: 24 - 46i - 10

Numerator: 14 - 46i

So in some form or other the answer is

Right Frame

Here, the slopes must be the same. So calculate the slope of the left line and make that equal to the slope of the right line's expression

Left Line

Left = (y2 - y1)/( x2 - x1) = (2 - 0)/(0 - - 5) = 2/5

Right line

Right  = (y2 - y1) / (x2 - x1) = (0 - - 4) / (p - 0) = 4/p

Now Equate them (they are parallel and have the same slope)

2/5 = 4/p           Cross multiply

2p = 5*4            Combine the right

2p = 20              Divide by 2

2p/2 = 20/2       Do the division

p = 10

To affirm that it exists a solution to the equation f(x) = g(x) between x =3 and x =4 you should state the continuity of the functions.

1) Being f(x) a linear function means it is well defined between the points x = 3 and x =4 and you can conclude that it is a decreasing continuos function (decreasing because f(4) < f(3).

2) Being g(x) a ratonal functiion means that it is the ratio of two polynomials, g(x) = p(x) / m(x).Then, g(x) is continuous in the range [3,4] if and only if m(x) ≠ 0in the same range.

3) Given that you do not know whether m(x) meets that condition, you cannot conclude whether theres is a solution or not to f(x) = g(x).