Function Operations and Compositions

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.1B

HINT: Use box to multiply

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• 
• 

Tags

CCSS.HSF-BF.A.1B

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

• 0

• 3

• 6

• 9

Tags

CCSS.HSF-BF.A.1C

• -3

• 0

• 4

• 8

Tags

CCSS.HSF-BF.A.1B

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

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

Tags

CCSS.HSA.APR.D.7

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

f(x)=3x²+1

g(x)=4x+5

Find (f + g)(2)

• 13

• 0

• 26

• 6x²+8x+12

Tags

CCSS.HSF-BF.A.1B

f(x) = x²+9

g(x) = x-9

Find f(x) - g(x). 

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Tags

CCSS.HSF-BF.A.1B

Given f(x) = 2x - 5 and

g(x) = x² − 4x + 5

(g - f)(x) =

• x²-6x+10

• -x²+6x-10

• x²-6x

• -x²-2x

Tags

CCSS.HSF-BF.A.1B