If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Answer explanation

f[g(x)]

=f(3x-1) replace g(x) with 3x-1

=(3x+1)^2 replace the x in f(x) with 3x-1 and simplify

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Answer explanation

Function in a function.

rewrite f(x^2+3)

replace the x in the f(x) function wiht x^2+3 and simplify

Tags

CCSS.HSF-BF.A.1C

Perform the indicated operation.

• 
• 
• 
• 

Tags

CCSS.HSF-BF.A.1B

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Answer explanation

To find the inverse

1. switch x and y

2. solve for y

Tags

CCSS.HSF-BF.B.4A

What is g(7) if:

• -17
• -13 
• 13       
• 17

Answer explanation

g(7) means to find y when x = 7. You should plug in 7 to the top equation since 7 is in the domain of the top equation.

Tags

CCSS.HSF.IF.A.2

What is f when x equals 0?

• -5
• 0
• 1/2
• 1

Answer explanation

x = 0 is true for the bottom equation, so plug in 0 for x and simplify

Tags

CCSS.HSF.IF.A.2

Find f(2)

Answer explanation

Look at the graph, when x = 2, what is the y-value?

Tags

CCSS.HSF.IF.A.2

Find f(3)

Answer explanation

Look at the graph, when x = 3, what is the y-value?

Tags

CCSS.HSF.IF.A.2

Graph the following piecewise function

Answer explanation

Graph the line y = 5 and keep the part where x values are less than 2.

Graph the other equation and only keep the graph for x values greater than 2. Be sure to use open circles since we are not keeping the values when x = 2

Tags

CCSS.HSF-IF.C.7B