Question

Suppose that the graph of f contains the point (6,4). Find a point that must be on the graph of g(x)=3+f(5x).

Answer 1

similar to the last one
if \(5x=6\) then what is \(x\) ?

Answer 2

x=1.2

Answer 3

ok, and if \(x=1.2\) then what is \(3+f(5\times 1.2)\)?

Answer 4

how do you get to 5x=6?

Answer 5

you know what \(f(6)\) is right?

Answer 6

and that is all you know about \(f\)

Answer 7

so if you have any hope of knowing what \(3+f(5x)\) is, you can only know it if \(5x=6\)

Answer 8

okay i understand that part now

Answer 9

when does the 4 come in?

Answer 10

you know that \(f(6)=4\)

Answer 11

so if \(x=1.2\) then \(3+f(5x)=3+f(5\times 1.2)=3+f(6)=3+4=7\)

Answer 12

meaning \((1.2,7)\) is on the graph of \(g\)

Answer 13

okay thank you im gonna try to next one on my own to see if i can do it

Answer 14

i have another problem where f contains point 5,2 and g(x)=7(f(x)+3) i found x=5 but i dont know what y is i thought it was 14 but my online homework says its wrong