Question

Given that -6,-6 is on the graph of f x find the corresponding point for the function f(3/4x)

Answer 1

The corresponding point is (-8, -6).

Explanation:

Given that

(-6,-6) lies on the graph of
`f(x)`

A function is represented in the form:

`y = f(x)`

i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.

`f(-6) = -6`

Now, we have to find the corresponding point on
`f((3)/(4)x)`.

We know the value of
`f(-6)`

Let us find the value of x where
`(3)/(4)x` becomes equal to -6

`(3)/(4)x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8`

So, let us put value of
`x = -8` in
`f((3)/(4)x)`:

`f((3)/(4)* (-8))\\\Rightarrow f(3* (-2))\\\Rightarrow f(-6) = -6`(as per given statement)

So, the corresponding point is (-8, -6).