Is the function f(x)= sec x and g(x)= sin x, what is the composed function f(g(x)= sec(sin x) and what are its domain and range?

f(g(x)) = sec(sin(x))  Third option

Step-by-step explanation:

In this problem we have 2 functions:

g(x) = sin(x)

f(x) = sec(x)

Where sec(x) = 1/cos(x)

Then we find f (g (x)) by introducing the function g into the function f.

The result is as follows:

f(g(x)) = sec(sin(x))

We know that the domain of the sec(x) are all values of x of the form where k is an odd integer.

On the other hand the domain of sin(x) are all real numbers.

Then the domain of f(g(x)) must be all values of x such that sin(x) is different from

Sin(x) is never equal to . Therefore the domain of f(g(x)) are all real numbers, and its rank is

Where 1.85 is the maximum value that reaches when

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %