Inverse Functions 10/24/22

Answer explanation

step 1: y=3x

Step 2: x=3y

Step 3: divide by 3 on both sides.

Step 4: f inverse is x/3

Answer explanation

Step 1: y=5x+1

Step 2: x=5y+1

Step 3 (solve for y):

subtract 1 to both sides

x-1=5y

Divide by 5 on both sides

(x-1)/5

Step 4:

F inverse is (x-1)/5

Answer explanation

Step 1: y=8x-3/5

Step 2 (flip x and y):

x=8y-3/5

Step 3 (solve for y):

5x=8y-3

5x+3= 8y

(5x+3)/8=y

Step 4:

f inverse is (5x+3)/8

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

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

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

What is the FIRST step I need to take to solve for x in the following equation?

• Add 9 to both sides

• Take the square root of both sides

• Divide both sides by 49

• Multiply both sides by 9

Answer explanation

Remember that the inverse of a x^2 is taking the square root.

• One-to-One Function

• Not One-to-One Function

Answer explanation

a one to one function means that every x has it's own y. Every input has it's own output for y.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f + g)(x).

• 8x² + 3

• 8x + 3

• 8x - 3

• 15x² - 70

Answer explanation

What this is saying is that you are to add functions f and g.

f(x)=5x-7

g(x)=3x+10

5x+7+3x+10= 8x+3

(f+g)(x)= 8x+3

f(x) = 5x - 7

g(x) = 3x + 10

Find (f - g)(x).

• 2x - 3

• 2x + 17

• 2x + 3

• 2x - 17

Answer explanation

What this is saying

(f-g)(x) is that you are subtracting the function g from the function f.

(5x-7)-(3x+10)

5x-7-3x-10= 2x-17

(f-g)(x)= 2x-17