Composition Functions Adding and Subtracting

If h(b) = (6b³ + 6 - b⁴) and g(b)= (8b³ - 6b⁴ + 2)

Find h(b)-g(b)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Tags

CCSS.HSA.APR.A.1

If f(x) = (4x²+ x) and g(x) = (x²+ 2x)

Find f(x) - g(x).

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Tags

CCSS.HSF-BF.A.1B

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

• 14x-10

• -8x+2

• 2x+2

• 2x-2

Tags

CCSS.HSF-BF.A.1B

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) = 3x + 10
g(x) = x - 2
Find f(g(5))

Mathematical Equivalence

OFF

Tags

CCSS.HSF-BF.A.1C

Given b(x) = -4x + 5 c(x) = 3x² - 4x - 2 Find (b ∘ c)(–3) ​ (a)   = ​ (b)   ​ (c)   = ​ (d)  

Tags

CCSS.HSF-BF.A.1C

If f(x)= -3x+7 and g(x)=2x² - 8,

then f(g(x)) = _______

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.A.1C

Given p(x) = x² + 1 q(x) = 5x Perform each composition and match it to its value.

• 10

• (q ∘ p)(-2)

• 25

• (p ∘ q)(1)

• 26

• (p ∘ q)(-2)

• 101

• (q ∘ p)(1)

Tags

CCSS.HSF-BF.A.1C

Two functions are given: h(x) = x^2 - 2x g(x) = 2x^2 - 4x Find h(x) - g(x).

Tags

CCSS.HSF-BF.A.1B

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Tags

CCSS.HSF-BF.A.1B