Explore a diverse range of topics and get expert answers on IDNLearn.com. Ask any question and get a thorough, accurate answer from our community of experienced professionals.
Answer:
[tex]f^-^1(x)= \frac{1}{5} x+2[/tex]
Step-by-step explanation:
To find the inverse of a function, or in this case [tex]f^-^1(x)[/tex], switch the places of the x and y in the given function, then isolate y. (Remember that [tex]f(x)[/tex] is another way of saying y.)
[tex]f(x) = 5x - 10\\x = 5y-10\\-5y + x = -10\\-5y = -x-10\\y = \frac{1}{5} x+2[/tex]
Thus, [tex]f^-^1(x)= \frac{1}{5} x+2[/tex].