Function Computation, Function Composition and Inverse Functions

Was the inverse function found correctly?

• no,

• yes

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5

• f^-1(x)=(x+5)/3

• f^-1(x)=3y-5

• f^-1(x)=3y+5

Tags

CCSS.HSF-BF.B.4A

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF-BF.B.4B

What is the inverse of this function?

• A

• B

• C

• D

Tags

CCSS.HSF-BF.B.4A

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

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

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

Tags

CCSS.HSF-BF.A.1C

Let

f(x) = 3x + 10

g(x) = x - 2

Evaluate f(g(0))

• 16

• 4

• -4

• None of these.

Answer explanation

g(0)= (0) -2= -2

f(-2)= 3(-2) + 10

= -6+10

= 4

Tags

CCSS.HSF-BF.A.1C

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

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C