Operations on Functions

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1C

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

• x² + 8x + 1
• x² + 6x - 1
• 5x² + 8x - 1
• x² + 8x -1

Tags

CCSS.HSF-BF.A.1B

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (fg)(x). 

• 3x³ - 10x² - 7x - 4
• 3x³ - 14x² + 9x - 4
• 3x² - x - 3
• 3x³ + 14x² - 9x - 4

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² - 2x + 1 and g(x) = x - 1. Find (f/g)(x)?

• no solution
• (x + 1)
• (x - 1)
• (x-1)(x+1)

Tags

CCSS.HSF-BF.A.1B

Given g(x) = 6x + 4 and  f(x) = 2x - 7
Find (fg)(x)

• 8x - 3
• 4x + 11
• 12x² - 28
• 12x² - 34x - 28

Tags

CCSS.HSF-BF.A.1B

Given g(x) = 6x + 4  and f(x) = 2x - 7, 
find g(x) - f(x)

• 4x - 3
• 4x + 11
• 8x - 3
• -4x - 11

Tags

CCSS.HSF-BF.A.1B

Given f(x) = 2x² + 2x and g(x) = x + 1, find (fg)(x)

•  4x² + 2x
• 2x² + 3x² + 1
• 2x³ - 4x² + 2x
• 2x³ + 4x² + 2x

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² + 5x + 6 and g(x) = 2x + 4, find (f/g)(x).

• (x+3)(x+2)/(2x+4)
• (x+3)/2
• (x+3)/(x+2)
• (2x+4)/(x+3)

Tags

CCSS.HSF-BF.A.1B

Given f(x) = 3x²  and g(x) = 7-x, find
(g-f)(x).

• 3x² - x + 7
• -3x² + x + 7
• -3x² - x + 7
• -3x² - x - 7

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x + 2 and g(x) = x² -4, find
(f/g)(x).

• 1/(x-2)
• 1/(x+2)
• (x-2)
• (x+2)

Tags

CCSS.HSF-BF.A.1B