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Serjik [45]
3 years ago
15

If f(x) = 5x – 1, then f^-1(x)=

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

\boxed{\sf \ \ \ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ }

Step-by-step explanation:

hello

f(x)=5x-1

what can we say about f^{-1}(x) ?

(fof^{-1})(x)=x=f(f^{-1}(x))=5f^{-1}(x)-1

so

5f^{-1}(x)-1=x\\ 5f^{-1}(x)-1+1=5f^{-1}(x)=x+1 \ \ \ add \ \ 1\\   f^{-1}(x)=\dfrac{x+1}{5} \ \ \ divide \ \ by  \ \ 5

hope this helps

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