Operations With 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

Find f(x) - g(x)

• 2x² + 8x - 8

• 3x² + 8x - 8

• 2x² + 8x + 8

• 2x² + 4x - 8

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1

Find f(x) - g(x)

• x² - 7x + 2

• -x² + 7x + 2

• -x² - 7x + 2

• -x² - 7x + 4

f(x) = 6x² + 3x + 2 and g(x) = x - 7
Find f(x) * g(x)

• 6x³ - 39x² - 19x + 14

• 6x³ - 39x² - 21x - 14

• 6x³ - 39x² - 19x - 14

• 6x³ - 45x² - 19x + 14

Identify the range of the following relation:

• {-6, 14, 2, 28}

• {-6,14, 0, 32, 2, 38, 4,44}

• {-6, 0, 2, 4}

• {14, 32, 38, 44}

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10

• -8x+2

• 2x+2

• 2x-2

f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)

• 6x + 15

• 6x - 15

• -6x + 15

• 6x - 8