Question

f(x) = x + 1/x , show that {f(x)}³ = f(x³) + 3f(1/x)​

Answer 1

Answer:

Here is ur answer....in this picture

Answer 2

Step-by-step explanation:

f(x) = x+1/x

=> {f(x)}³ = (x+1/x)³............(1)

=> f(x³) = x³+1/x³...............(2)

=> 3f(1\x) = 3(1/x+x)..........(3)

(2)+(3)

=> x³+1/x³+3x+3/x

= (x+1/x)³

= {f(x)}³

proved

hope this helps you