Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you? A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.

f(g(x)) = (x + 2)² = x² + 4x + 4

g(f(x)) = x² + 2

Step-by-step explanation:

∵ f(x) = x²

∵ g(x) = x + 2

→ f(g(x)) means substitute x of f(x) by g(x)

∵ f(g(x)) = f(x + 2)

∴ f(x + 2) = (x + 2)²

∵ (x + 2)² = (x)(x) + (x)(2) + (2)(x) + (2)(2)

∴ (x + 2)² = x² + 2x + 2x + 4

→ Add the like terms

∴ (x + 2)² = x² + 4x + 4

∴ f(g(x)) = (x + 2)² = x² + 4x + 4

→ g(f(x)) means substitute x of g(x) by f(x)

∵ g(f(x)) = g(x²)

∴ g(x²) = x² + 2

∴ g(f(x)) = x² + 2