Review of 1.7

Find the domain:
 $f\left(x\right)\ =\ \frac{4}{x-7}$  

• [7, $\infty$  )

• (- $\infty$  ,7]

•  $\left(-\infty,7\right)\cup\left(7,\ \infty\right)$  

• All real numbers

Find the domain:
 $f\left(x\right)=\sqrt{x+5}$  

•  $\left(-\infty,-5\right)\cup\left(-5,\infty\right)$  

•  $\left(-\infty,-5\right]$  

•  $\left(-5,\infty\right)$  

•  $\left[-5,\infty\right)$  

Find the domain:  $f\left(x\right)\ =\ \sqrt{x-1}+\sqrt{x+5}$  

•  $\left(-\infty,-5\right)\cup\left(1,\infty\right)$  

•  $\left[1,\infty\right)$  

•  $\left[-5,\infty\right)$  

•  $\left[-4,\infty\right)$  

Find the domain:  $f\left(x\right)\ =\frac{\sqrt{x-6}}{x-10}$  

•  $\left[-4,\infty\right)$  

•  $\left[6,\infty\right)$  

•  $\left[6,10\right)\cup\left(10,\infty\right)$  

•  $\left(-\infty,10\right)\cup\left(10,\infty\right)$  

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.1B

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

Tags

CCSS.HSF-BF.A.1B

h(x) = 2x² - x + 1
g(x) = 3x
Find (h*g)(x).

• 5x³ + 2x² + 3x
• 2x² + 2x + 1
• 6x³ - 3x² + 3x
• 6x³ - 1

Tags

CCSS.HSF-BF.A.1B

Find the domain of  $\frac{f}{g}\left(x\right)$  if  $f\left(x\right)\ =\ \sqrt{x+8}$  and  $g\left(x\right)\ =\ \sqrt{x-3}$  

•  $\left(3,\infty\right)$  

•  $\left(-\infty,-8\right)\cup\left(-8,3\right)\cup\left(3,\infty\right)$  

•  $\left[3,\infty\right)$  

•  $\left[-8,3\right)\cup\left(3,\infty\right)$  

 $f\left(x\right)\ =x^2-25$  Find the domain:

•  $\left[5,\infty\right)$  

•  $\left(-\infty,-5\right)\cup\left(-5,5\right)\cup\left(5,\infty\right)$  

• All real numbers

•  $\left(-\infty,5\right)\cup\left(5,\infty\right)$  

 $f\left(x\right)\ =\frac{1}{x^2-25}$  Find the domain:

•  $\left[5,\infty\right)$  

•  $\left(-\infty,-5\right)\cup\left(-5,5\right)\cup\left(5,\infty\right)$  

• All real numbers

•  $\left(-\infty,5\right)\cup\left(5,\infty\right)$