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SOVA2 [1]
3 years ago
7

Find the inverse of each function. f(n)=n+4/2

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Step-by-step explanation:

f(n) =  \frac{ n +4}{2}  \\ let \: f(n)  = y  \implies \: n =  {f}^{ - 1}(y) \\  \therefore \: y = \frac{ n +4}{2}   \\  \\ \therefore \:2 y = n +4 \\  \\ \therefore \:2 y  - 4= n  \\ \therefore \:n  = 2y - 4 \\  \\ \therefore \:  {f}^{ - 1}(y)   = 2y - 4 \\  \\  \red{ \boxed{\bold{\therefore \:  {f}^{ - 1}(n)   = 2n- 4} }}

(Replacing y by n)

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