Function Notation and Operations

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3

• 16x² - 8x + 3

• 16x² - 8x - 3

• 16x² - 16x - 3

Tags

CCSS.HSF-BF.A.1B

Find f[g(5)]

• 30

• 242

• 92

• 2

Tags

CCSS.HSF-BF.A.1C

Evaluate f(-2) if f(x) = x+3

• -1

• 1

• 5

• -5

Tags

CCSS.HSF.IF.A.2

Given h(x) = -9x +5, find h(8). 

• h(8) = -360

• h(8) = -67

Tags

CCSS.HSF.IF.A.2

Find f(x) - g(x)

• 2x² + 8x - 8

• 3x² + 8x - 8

• 2x² + 8x + 8

• 2x² + 4x - 8

Tags

CCSS.HSF-BF.A.1B

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

If g(x) = 6(-8x + 12) + 7, what is the value of g(6)?

Mathematical Equivalence

ON

Tags

CCSS.HSF.IF.A.2

If g(x) = 2(-5x +2) + 10, what is the value of g(4)?

Mathematical Equivalence

ON

Tags

CCSS.HSF.IF.A.2

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