if the point P58 is on the graph of the function f find the

if the point P(5,8) is on the graph of the function f, find the corresponding point on the graph of the given function.

Solution

Solution:

Given that

y = 1/4 f(1/3x) -2

now point P (5, 8) lie on the graph hnece

f(5) =8

to find f(1/3x) we can assume 1/3x = 5

hence x = 15 and at x= 15 function f(1/3x) become f(5) = 8

now plug the value x =15 therefore

y = 1/4 f(5) -2

= 1/4( 8) -2

= 2-2

= 0

the corresponding point is

( 15, 0)