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Let f(x)=7x-13. Find f^-1(x).

User Kaedys
by
8.3k points

2 Answers

4 votes

Ok but allow my humble self to use
y instead of
f(x).

We have,


y=7x-13

If you wanna know what the inverse is swap the values of x and y,


x=7y-13

And now solve for y,


x+13=7y\implies\boxed{y=f^(-1)(x)=(x+13)/(7)}.

Hope this helps.

User Udi Meiri
by
8.5k points
5 votes

Answer:

The inverse function is (x+13)/7

Explanation:

y = 7x-13

Exchange x and y

x = 7y -13

Solve for y

Add 13 to each side

x+13 = 7y-13+13

x+13 = 7y

Divide each side by 7

(x+13)/7 = 7y/7

(x+13)/7 = y

The inverse function is (x+13)/7

User Fra
by
8.1k points

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