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

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10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.