Question

f(x)=(4-(x-7)^(3))^(1/5) then f^-1 (x)​

Answer 1

Answer:

ANSWER

f(x)=4−(x−7) 3

Let y=f(x)

So, x=f −1 (y) ---- ( 1 )

y=f(x)

⇒ y=4−(x−7) 3

⇒ (x−7) 3 =4−y

⇒ x−7= 3 4−y

⇒ x=7+ 3 4−y

⇒ f −1 (y)=7+ 34−y .................. [ From ( 1)]

∴ f −1 (x)=7+ 34−x

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