2 01 points Previous Answers My Notes Ask Your Suppose that

2. 0/1 points Previous Answers My Notes Ask Your Suppose that the graph of f contains the point (4.5). Find a point that must be on the graph of)fr +6) 20 X 20 3. 0/1 points ! Previous Answers My Notes Ask Your Suppose that the graph of f contains the point (6,). Find a point that must be on the graph of s)-3+6) x,6 4. 1 points My Notes Ask Your Suppose that the graph of s contains the point (4,5). Find a point that must be on the graph of g(x)- -2) 5. 1 points My Notes Ask Your Teacher Suppose that the graph of fcontains the point (5,2). Find a point that must be on the graph of

Solution

1) f(4) = 5

g(x) = 2 f(x+6)

if x+6 = 4

x = -2

g(-2) = 2 f(-2+6)

g(-2) = 10

so, point ( -2, 10 ) lie on g(x)

2) g(x) = 3 + f(5x)

f(6) = 4

5x = 6

x = 6/5

g(6/5) = 3 + f ( 5*6/5) = 3 + 4= 7

so, ( 6/5 ,7 ) lies on graph of g

3) g(x) = f( x+2 / 6 )

( 4, 5 ) lie on the graph

f(4) = 5

x+2 / 6 = 4

x+ 2 = 24

x = 22

g(x) = f(x+2/6 ) , plug x = 22

g(22) = f ( 24/6 ) = 5

so, (22,5 ) lies on graph of g

4) g(x) = 7 ( f(x) + 3)

( 5,2) lie on the graph

f(5) = 2

plugging x = 5

g(5) = 7 (f(5) + 3) = 7 ( 2+3) = 35

5 , 35

so , ( 5, 35 ) lie on the graph