Inverse and Logs

Which of the following is true.

• Inverse graphs reflect over the diagonal line y=x

• inverse graphs reflect over the x-axis

• inverse graphs reflect over the y-axis

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

• (2,6) , (3,1) , and (4,2)

• (-3,-1) , (-4,-2) , and (-2,-6)

• (1,3) , (2,4) , and (6,2)

• (-1,-3) , (-2,-4) , and (-6,-2)

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

Find the inverse 
f(x)= x⁴ - 2

• ∜(x+2)
• (x+2)⁴
• -1+2x⁴
• ∜2x

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 1/4x + 7/4
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses
• x + 20 ; No, they are not inverses
• x ; Yes they are inverses
• x ; No, they are not inverses

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13