Answer:
f(g(x)) = x² - 2x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f(g(x))
= f(x - 1)
= (x - 1)² ← expand using FOIL
= x² - 2x + 1
Step-by-step explanation:

If it helps, write as a product of fractions, grouped by variable.

Now reduce using exponent rules.

Answer:
g(x) = - x² - x + 12
Step-by-step explanation:
Given
g(x) = (- x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- x(x - 3) - 4(x - 3) ← distribute both parenthesis
= - x² + 3x - 4x + 12 ← collect like terms
= - x² - x + 12 ← in standard form
Answer:
204
Step-by-step explanation:
Find the area of the inner square. 14 x 14 = 196
Then find the area of the outer square. 20 x 20 = 400
Subtract 400 - 196 = 204
204 is closest to 200