We need to find the inverse of the function:
[tex]f(x)=2x+10[/tex]First step:
replace f(x) with a letter (y for example):
[tex]=2x+10[/tex]y = 2x +10 (the equation editor is not allowing me to enter a "y" for some reason)
Second step:
solve for x:
2x = y - 10
x = (y - 10)/2
Third step:
replace x with f^-1(x), and replace y with x:
[tex]f^{-1}(x)=\frac{x-10}{2}=\frac{x}{2}-5[/tex]the inverse is: (1/2) x - 5
or equivalently: (x-10)/ 2 that is: (x minus 10) divided by 2
