Operations and Composition of 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

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

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

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for (f/g)(x)?

• no restrictions
• x ≠ -4
• x ≠ 4
• x ≠ 0

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

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

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

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

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

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

• 6x⁴+12x³-4x²-8x
• -6x³+12x²+2x-4
• 6x³+12x²-2x-4
• 5x²-18x+20