Domains and Function composition

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20
• f(-1) = -24
• f(-1)= -10

Tags

CCSS.HSA.APR.A.1

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x)=x+3
g(x)=x-2
Find (g/f)(x)

• (x+3)/(x-2)
• (x-2)/(x+3)
• -2/3
• 3/2

Tags

CCSS.HSA.APR.D.7

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What's the domain of

 $f\left(x\right)=-2x+5$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-\infty,\ 5\right)$  

•  $\left(-\infty,\ 5\right]$  

•  $\left[5,\ \infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain of the function?

• $\left(-\infty,\ 3\right)$

• $\left(3,\ \infty\right)$
  

• $\left(-\infty,\ \infty\right)$

• $\left(0,\ 3\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Find the domain of h(x):

• (- ∞, ∞)

• [2, ∞)

• (-∞, -2]

• [-2, ∞)

Tags

CCSS.HSF.IF.B.5

What's the domain of the function?

• $\left(-\infty,\ -3\right)\cup\left(-3,\ \infty\right)$

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ 1\right)\cup\left(1,\ \infty\right)$

• $\left(-\infty,\ 3\right)\cup\left(3,\ \infty\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5

Find the domain of the function:  $f(x)=\frac{x}{2x+4}$  

•  $\left(-\infty,\ 2\right)\cup\left(2,\ \infty\right)$  

•  $\left(-\infty,\ 4\right)\cup\left(4,\ \infty\right)$  

•  $\left(-\infty,\ -2\right)\cup\left(-2,\ \infty\right)$  
  

•  $\left(-\infty,\ \infty\right)$  

Tags

CCSS.HSA.APR.D.7

Find the domain of the function

 $f\left(x\right)=\frac{2}{\sqrt{x-7}}$  

•  $\left(7,\ \infty\right)$  

•  $\left[7,\ \infty\right)$  

•  $\left(-\infty,\ 7\right)$  

•  $\left(-\infty,\ 7\right]$  

Tags

CCSS.HSF.IF.B.5