Question

The point (-12,12) is on the graph of y=f(x). Find the corresponding point on the graph of y=g(x) where g(x)= 1/3f(x)

Answer 1

the corresponding point on the graph of  $y = f(x)$ where $g(x) = \frac{1}{3(f(x))}$ is $(-12,\frac{1}{36})$ .

Step-by-step explanation:

We have , The point (-12,12) is on the graph of y=f(x).  We need to Find the corresponding point on the graph of y=g(x) where g(x)= 1/3f(x) . Let's find out:

On function $y = f(x)$ , a point $p(-12,12)$ lies . Another function $g(x) = \frac{1}{3(f(x))}$ .

According to question ,  as On function $y = f(x)$ , a point $p(-12,12)$ lies :

⇒ $12= f(-12)$

Now, Putting x = -12 in function $g(x) = \frac{1}{3(f(x))}$ we get:

⇒ $g(x) = \frac{1}{3(f(x))}$

⇒ $y=g(-12) = \frac{1}{3(f(-12))}$     { $12= f(-12)$ }

⇒ $y= \frac{1}{3(12)}$    

⇒ $y= \frac{1}{36}$

Therefore, the corresponding point on the graph of  $y = f(x)$ where $g(x) = \frac{1}{3(f(x))}$ is $(-12,\frac{1}{36})$ .