Algebra 2 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

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 (f*g)(x).

• 3x³ - 10x² - 7x - 4

• 3x³ - 14x² + 9x - 4

• 3x² - x - 3

• 3x³ + 14x² - 9x - 4

Tags

CCSS.HSF-BF.A.1B

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

• 2

• 5

• 9

• 14

Tags

CCSS.HSF.IF.A.2

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

Tags

CCSS.HSF-BF.A.1B

f(x) = 2x and g(x) = 2x-7 
Find (f+g)(2).

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.A.1B

Find (f-g)(2)
 if f(x)=4x+10 and g(x)=3x-7

• 18

• -1

• 19

• 17

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² + 5 and g(x) = 2x³ - 1,
find (f/g)(-3).

• -14/55

• 14/55

• 2

• -2

Tags

CCSS.HSF-BF.A.1B

Find f(2) if f(x)= 3x-9

• 0

• 2

• 3

• -3

Tags

CCSS.HSF.IF.A.2

If g(x) = 6x + 4  and
f(x) = 2x - 7
Find f(x) * g(x)

• 8x - 3

• 4x + 11

• 12x² - 28

• 12x² - 34x - 28

Tags

CCSS.HSF-BF.A.1B