Question

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

Answer 1

Answer:

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

Step-by-step 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 $f(\frac{3}{4}x)$.

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

Let us find the value of x where $\frac{3}{4}x$ becomes equal to -6

$\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8$

So, let us put value of $x = -8$ in $f(\frac{3}{4}x)$:

$f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6$(as per given statement)

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