inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x
so
f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3
[tex] \frac{y- \frac{5}{7} }{3} [/tex]=x
replace with f⁻¹(x)
f⁻¹(x)=[tex] \frac{y- \frac{5}{7} }{3} [/tex]