Operations and Compositions of Functions

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

Tags

CCSS.HSF-BF.A.1C

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.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

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

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39

• -27

• -23

• -19

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

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

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