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Bingel [31]
2 years ago
8

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

Mathematics
2 answers:
Sedaia [141]2 years ago
6 0

Answer:

12

Step-by-step 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

Arturiano [62]2 years ago
3 0
I hope this helps you

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