Function Substitution

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

f(x)=x²-2x+1
Evaluate the function for f(-1).

• f(-1)=4

• f(-1)=0

• f(-1)=2

• f(-1)=-1

Tags

CCSS.HSF.IF.A.2

f(x) = 2x + 1

f(3)

In this problem, which of the following choices SUBSTITUTES correctly?

• 3 = 2x + 1

• f(3) = 2(3) + 1

• 3 = 2(3) + 1

Tags

CCSS.HSF.IF.A.2

f(x) = 2x + 1 f(3) = ? In this problem, the 3 represents the:

• x

• y

• f(x)

Tags

CCSS.HSF.IF.A.2

f(x) = 2x + 1

f(x) = 11

In this problem, the 11 represents the:

• x value

• input

• y value

• Solution

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which of the following examples SUBSTITUTES the 11 correctly?

• f(11) = 2(11) + 1

• 11 = 2x + 1

• f(x) = 2(11) + 1

Tags

CCSS.HSF.IF.A.2

Use your calculator:

f(x) = -2x + 2

Find f(3)

• -4

• 4

• -21

• 15

Tags

CCSS.HSF.IF.A.2

Evaluate the following:

f(x) = -17x + 2

f(-1)

• 19

• -19

• -15

• 15

Tags

CCSS.HSF.IF.A.2

Given:

f(x) = 10x - 10

Evaluate f(-5)

• -60

• 0

• 1020

• 40

Tags

CCSS.HSF.IF.A.2

Given f(x) = 3x + 1 f(x) = 4, Find the value of x.

• 1

• 2

• 3

• -1

Tags

CCSS.HSF.IF.A.2