Operations Functions

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

• x² + 8x + 1

• x² + 6x - 1

• 5x² + 8x - 1

• x² + 8x -1

Tags

CCSS.HSF-BF.A.1B

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

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31

• f(g(x))= -6x²+24

• f(g(x))=18x²-84x+6

• f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x² + 31

• g(f(x))= -6x² + 24

• g(f(x))=18x² - 84x + 90

• g(f(x))=9x² - 42x - 41

Tags

CCSS.HSF-BF.A.1C

Find f(x) - g(x)

• 2x² + 8x - 8

• 3x² + 8x - 8

• 2x² + 8x + 8

• 2x² + 4x - 8

Tags

CCSS.HSF-BF.A.1B

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1.b

Find f(x) - g(x)

• x² - 7x + 2

• -x² + 7x + 2

• -x² - 7x + 2

• -x² - 7x + 4

Tags

CCSS.HSF-BF.A.1B

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1.b

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16

• 4

• -4

• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x)= x² - 1
g(x)= x - 1
Find (f(x)/g(x))
Then simplify using x = 10

• 9

• 11

• 90

• 110

Tags

CCSS.HSF-BF.A.1B