If f (x) varies directly with x and f (x) = 72 when x = 6, find the value of f (x) when x = 3.

36

Step-by-step explanation:

Since f (x) varies directly with x, f (x) can be expressed alternatively as / [f (x) = k * x/] where k is a constant value.

Given that f (x) is 72 when the value of x is 6.

This implies, / [72 = k * 6/]

Simplifying and rearranging the equation to find the value of k:

k = / frac{72}{6}

Hence k = 12

Or, / [f (x) = 12 * x/]

When x = 3, / [f (x) = 12 * 3 / ]

Or in other words, the value of f (x) when x=3 is 36

The value of f (x) at x = 6 is 36

Step-by-step explanation:

Given as:

f (x) varies directly with x

f (x) = 72, for x = 6

So, The function f (x) must be 12 x

i. e f (x) = 12 x

A this function satisfy for x = 6

Now, The function is f (x) = 12 x

So, for x = 3

The function f (x) = 12 * 3

I. e f (x) = 36

Hence The value of f (x) at x = 6 is 36 Answer