Let ​f(x) equals =x squared 2 and ​g(x) equals =x minus − 4 4. Find ​(f circle ◦​g)( negative 3 −3​).

Question

Let f(x)
equals
=x
squared
2 and g(x)
equals
=x
minus
−
4
4. Find (f
circle
◦g)(
negative 3
−3).

Answer 1

f(x) = x^2

 

g(x) = x-4

 

g(-3) = -3 - 4 = -7

 

f(-7) = (-7)^2 - 49

 

OR

 

H(x) = f(g(x)) = (x-4)^2

 

H(-3) = (-3 - 4)^2 = (-7)^2 = 49