Actually Welcome to the Concept of the Functions.
So here to get the (f-g) (x) , we do the subtraction of the two functions now,
==> 8x + 5 - (9x -2)
===> 8x + 5 -9x +2
===> 8x - 9x +7
==> -x + 7
hence the new function (f-g) (x) = 7 - x
and the domain is from (- infinite to + infinite)
Answer:
(5,19) lies on the graph of the transformed function y = f(1/5x)
Step-by-step explanation:
Suppose (1,19) is on the graph of y = f (x)
the graph of the transformed function y = f(1/5x)
1/5 is multiplied with x in f(x)
1/5 is less than 1 so there will be a horizontal stretch in the graph by the factor of 1/5
To make horizontal stretch we change the point
f(x)=f(bx) then (x,y) --->( x/b,y)
We divide the x coordinate by the fraction 1/5
(1,19) ---->
So (5,19) lies on the graph of the transformed function y = f(1/5x)