Function Compositions and Domain

If f(x) = x² + 9 and
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

If f(x) = 9 - 3x and
g(x) = 5x - 7,
find f(x) + g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSF-BF.A.1B

If f(x) = 4x+8 and
g(x) = x+3,
find f(x) * g(x). 

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

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

If f(x)=x+3 and 
g(x)=x-2
State the domain of g(x)/f(x).

• x cannot equal 2
• x cannot equal -3
• all real numbers
• x cannot equal 2 or -3

Tags

CCSS.HSF-BF.A.1B

If f(x)=x³-3x and
g(x)=-4x+1
Find the domain of f(x)*g(x).

• x cannot equal 0
• non-negative real numbers
• all real numbers
• x cannot equal 1/4

g(x)=x-1
f(x)=x² - 2x
Find g(x) - f(x)

• -x²+3x-1
• -x³+x²+5x-4
• x²-3x+1
• x²+3x+1

Tags

CCSS.HSF-BF.A.1B

If f(x) = x²+9 and
g(x) = x-9,
find the domain of f(x)/g(x). 

• all real numbers
• x cannot equal -3 or 3
• x cannot equal -9 or 9
• x cannot equal 9

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

• 4x²-4x+6
• 4x²+6
• 4x²+1
• 2x²+9

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find (g(h(x)).

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C