Examples
f(x)=6(x-8)+5f(x)=6(x−8)+5
Step 1
Write f(x)=6(x-8)+5 as an equation.
y=6(x-8)+5
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Apply the distributive property.
y=6x+6⋅-8+5
Step 2.1.2
Multiply 6 by -8.
y=6x-48+5
y=6x-48+5
Step 2.2
Add -48 and 5.
y=6x-43
y=6x-43
Step 3
Choose any value for x that is in the domain to plug into the equation.
Step 4
Step 4.1
Remove parentheses.
y=6(0)-43
Step 4.2
Simplify 6(0)-43.
Step 4.2.1
Multiply 6 by 0.
y=0-43
Step 4.2.2
Subtract 43 from 0.
y=-43
y=-43
Step 4.3
Use the x and y values to form the ordered pair.
(0,-43)
(0,-43)
Step 5
Step 5.1
Remove parentheses.
y=6(1)-43
Step 5.2
Simplify 6(1)-43.
Step 5.2.1
Multiply 6 by 1.
y=6-43
Step 5.2.2
Subtract 43 from 6.
y=-37
y=-37
Step 5.3
Use the x and y values to form the ordered pair.
(1,-37)
(1,-37)
Step 6
Step 6.1
Remove parentheses.
y=6(2)-43
Step 6.2
Simplify 6(2)-43.
Step 6.2.1
Multiply 6 by 2.
y=12-43
Step 6.2.2
Subtract 43 from 12.
y=-31
y=-31
Step 6.3
Use the x and y values to form the ordered pair.
(2,-31)
(2,-31)
Step 7
These are three possible solutions to the equation.
(0,-43),(1,-37),(2,-31)
Step 8