Given f(x)=sec x and g(x)=arcsin x, what is f(g(

answer choices:

a. sqrt 1-x^2 / 1-x^2

b. sqrt x^2+1 / x^2+1

c. sqrt 1-x^2

d. sqrt x^2+1

Option 1 is correct.

Step-by-step explanation:

Given two functions  f(x)=sec x and g(x)=arcsin x

we have to find f(g(x)).

f(g(x))=sec(arcsinx)=sec A where A=arc(sinx)

As, A=arc(sinx)

⇒

⇒ P=x and H=1 gives

hence,

hence,

Rationalizing, we get

Option 1 is correct.

the 4th choice is the correct one

step-by-step explanation:

i would need to see the dot plot : )