If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ? a) x^2 - 3 b) x^2 + 9 c) x^3 - 3x^2 d) x^2 - 6x + 9

D

Step-by-step explanation:

A function composition is where one function is substituted within another function and is written f(g(x)). Here we will substitute g(x) into f(x).

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!