How do you find f(20), if f(x) varies inversely with x and f(12)=5?

vballa15ei

vballa15ei

Answered question

2022-09-03

How do you find f(20), if f(x) varies inversely with x and f(12)=5?

Answer & Explanation

Dante Patton

Dante Patton

Beginner2022-09-04Added 10 answers

As f(x) varies inversely as x, we have f ( x ) = k 1 x
and as f ( 12 ) = 5 we have k 1 12 = 5 i.e. k = 12 × 5 = 60
Hence f ( x ) = 60 1 x = 60 x
and f ( 20 ) = 60 20 = 3

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