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Find the inverse function in slope-intercept form (mx+b):


f(x) = 5x - 10

11 points help me plz

Sagot :

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].