Question 1: Given f(x) = 2x + 3 and g(x) = x^2, calculate f(g(2)).

Answer: 11

Question 2: If f(x) = 3x - 5 and g(x) = x + 4, find the value of f(g(3)).

Answer: 10

Question 3: Calculate the value of f(g(0)) for f(x) = x^2 + 1 and g(x) = 2x.

Answer: 1

Question 4: Construct the graph of y = 2x + 1 and then sketch the graph of f(g(x)) where f(x) = x + 3 and g(x) = 2x.

Answer: Students draw on the grid

Question 5: Evaluate f(g(5)) where f(x) = x^2 - 4 and g(x) = 3x + 1.

Answer: 66

Question 6: If f(x) = 5 - x and g(x) = x/2, find the value of f(g(4)).

Answer: 3

Question 7: A function g(x) = 4x - 7 is composed with f(x) = 2x + 5. Find f(g(-1)).

Answer: 3

Question 8: Plot the graph of y = x^2 and then sketch the graph of f(g(x)) where f(x) = x + 2 and g(x) = √x. (Use the grid for drawing.)

Answer: Students sketch

Question 9: Solve for x: f(g(x)) = 9, where f(x) = x + 4 and g(x) = 2x.

Answer: x=2.5

Question 10: Evaluate f(g(x)) for f(x) = x^3 - x and g(x) = 2x + 1 when x=3.

Answer: 63

Question 11: A student makes the mistake of swapping f and g, calculating g(f(2)) instead of f(g(2)). For f(x)=x+4 and g(x)=2x, find g(f(2)) and compare it to f(g(2)).

Answer: g(f(2))=8, f(g(2))=8; both are equal in this case, but the mistake affects other functions.