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The function f(x) varies inversely with x and f(x)=8 when x=3

what is f(x) when x=2
12
14
22
48

2 Answers

5 votes
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The function f(x) varies inversely with x and f(x)=8 when x=3 what is f(x) when x-example-1
User YUSMLE
by
8.3k points
3 votes

Answer:


12

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
y*x=k or
y=k/x

In this problem we have

For
x=3 ----->
f(x)=8

so

Find the value of k


f(x)*x=k

substitute the value of x and f(x)


8*3=k


k=24

therefore

the equation is equal to


f(x)=24/x

For
x=2 -------> substitute in the equation and find the value of f(x)


f(x)=24/2=12

User Lakshitha Kanchana
by
8.1k points

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