Review Precal 1st Semester

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given f(x) = -x + 4 and g(x) = 6x + 3, find (f - g)(x).

• -7x + 1
• 5x +1
• -5x -1
• 5x + 1

Tags

CCSS.HSF-BF.A.1B

When f(x) = 4x+8 and

g(x) = x+3, find

(f⋅g)(x)

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Tags

CCSS.HSF-BF.B.4C

Are these the graphs of two inverse functions?

• Yes
• No
• No way to tell

Tags

CCSS.HSF-BF.B.4C

Find the inverse of  $f\left(x\right)=\sqrt{x}+8$  

•  $f^{-1}\left(x\right)=x^2+8$  

•  $f^{-1}\left(x\right)=x^2-8$  

•  $f^{-1}\left(x\right)=\left(x+8\right)^2$  

•  $f^{-1}\left(x\right)=\left(x-8\right)^2$  

Tags

CCSS.HSF-BF.B.4A

Are these functions inverses of each other?

Yes/no because

Tags

CCSS.HSF-BF.B.4B

From the basic function y= x², what transformations take place to get f(x) = 5x² + 2

• Stretch of 5

  Up 2

• Shrink of 5

  Up 2

• Stretch of 5

  Down 2

• Shrink of 5

  Down 2

Solve 

• x = 0 , 4
• x = 1 , 3
• x = -4 , 0
• x = 5 , 2

Tags

CCSS.HSA.REI.A.2

Solve for x:
 $\frac{-x-6}{x+3}>0$  

•  $\left(-6,-3\right)$  

•  $\left[-6,\ -3\right)$  

•  $\left(-\infty,\ -6\right)\cup\left(-3,\ \infty\right)$  

•  $\left(-\infty,\ -6\right]\cup\left[-3,\ \infty\right)$  

Tags

CCSS.HSA.REI.A.2