Combining Functions

Simplify by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

When 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

When 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

When 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

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

• 5n+1
• -5n+1
• -2n+1
• -6n-1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSF-BF.A.1B

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

f(x)=x+3
g(x)=x-2
Find (g/f)(x)

• (x+3)/(x-2)
• (x-2)/(x+3)
• -2/3
• 3/2

Tags

CCSS.HSF-BF.A.1B

h(x) = 3x + 3

g(x) = -4x + 1

Find (h + g)(10)

hint: add h(x) and g(x), then plug in 10

• -6

• 6

• 82

• -72

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

g(x) = 2x - 5

h(x) = 4x + 5

Find (g - h)(3)

hint: subtract g(x) and h(x), then plug in 3

• 18

• 16

• -16

• 28

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2