I am assuming you meant to write the following options
A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x
You need to find a fucntion f(x) that once evaluated in g(x) gives us as a result h(x)
h(x) = g(f(x))
Looking at the options, the answer is A.
g(f(x)) = sqrt(f(x)) = sqrt (x + 3) = h(x)
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
= 
= 
= 
= 
= cot²A = right side , thus proven
If we are scaling up the surface area by a factor of 10 means that the two dimensions of area are each being increased by 10 times the original size. Therefore, the surface area is increased by a factor of 10 x 10, or by a factor of 100.
Common factors of 12 and 24 include 2,3,4,6, and 12
