1.5 & 1.6 Combination of Functions and Inverse

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

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1C

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

Let $f\left(x\right)\ =\ 2x\$  and  $g\left(x\right)\ =\ x\ +\ 7$ 
What is  $f\left(g\left(5\right)\right)\ =\ ?$  

• 17

• 24

• 12

• 10

Tags

CCSS.HSF-BF.A.1C

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

• -2
• undefined
• 0
• 1

Tags

CCSS.HSF-BF.A.1B

Let $f\left(x\right)\ =\ x\ +\ 14$ 
and
 $g\left(x\right)\ =\ 3x\ +\ 7$ 

What is  $f\left(g\left(x\right)\right)$ = ? 

•  $\left(3x\ +\ 7\right)\ +\ 14$  

•  $3\left(x\ +\ 14\right)\ +\ 7$  

•  $3x\ +x\ +\ 14\ +7$  

•  $2x\ -7$  

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF-BF.A.1C

Is the inverse function found correctly?

• yes
• no

Tags

CCSS.HSF-BF.B.4A

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF-BF.B.4B