to find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
[tex] \frac{x-1}{2} [/tex]=y
y=[tex] \frac{x-1}{2} [/tex]
repplace y with f⁻¹(x)
f⁻¹(x)=[tex] \frac{x-1}{2} [/tex]
