Secondary 3 First Semester Review

If f(x) = 2x²- 3 and g(x)= 3 - x what is f(g(x))?

• -2x² + 6

• 2x² - 12x + 15

• -2x³ + 6x² +3x - 9

• -2x²+15

If f(x) = 3x² - x + 5 and g(x) = x+2 what is f(g(x))?

• 3x²+11x+15

• 3x²+11x+19

• 3x²-x+15

• 3x²-x+19

If f(x) = 3x²-x+2 and g(x)=x+2 what is (fg)(x)?

• 8x²+4

• 8x²- 4

• 3x³+7x²+4x+4

• 3x³+5x²+4

What are the solutions for

(3x-2)^(1/2) = x - 2?

• x = 1

• x = 6

• x = 1 and 6

• no solution

What are the solutions to

(x - 3)^0.5 = - 5

• x = -5

• x = -22

• x = 28

• no solution

What is the solution to

x - 5 = square root of (x - 3)?

• x = 4

• x = 7

• x = 4 and 7

• no real solution

What is the vertex, domain, and range of f(x) = -5(x - 4)² + 3

• V:(-4, 3) D: ( - ∞, 3] R:( - ∞, ∞)

• V:(-4, -3) D:( - ∞, ∞) R: ( - ∞, 3]

• V: (4, 3) D: ( - ∞, 3] R:( - ∞, ∞)

• V:(4,3) D:( - ∞, ∞) R:( - ∞, 3]

What is the domain and range of f(x) = (x - 5)^(1/2) + 6

• D: [5, ∞) R: [6, ∞)

• D: (5, ∞) R: (6, ∞)

• D: [0, ∞) R: [5, ∞)

• D: (0, ∞) R: [5, ∞)

What is the inverse function of

f(x) = (x - 6)^(1/2) + 9 with D: [6, ∞) ?

• f^-1(x) = x² + 12x +27 D:[9, ∞)

• f^-1(x) = x² + 12x +27 D:[6, ∞)

• f^-1(x) = x² -18x + 87 D:[6, ∞)

• f^-1(x) = x² -18x + 87 D:[9, ∞)

What is the solution of 2|x+6|>16 ?

• (2,∞)

• (-∞,-14)

• (-∞,-14) ∩ (2,∞)

• (-∞,-14) ∪ (2,∞)