Question

for the function f(x) = x^2-3x-4, determine g(x) =f(2x)

Answer 1

\[\Large f(x) = x^2-3x+4\]


\[\Large f(2x) = (2x)^2-3(2x)+4\]


Simplify from here

Answer 2

oh okay thanks

Answer 3

tell me what you get

Answer 4

4x^2-6x+4

Answer 5

you got it

Answer 6

what if g(x) = 2f(2x)?

Answer 7

would it be 8x^2-12x+8?

Answer 8

Then you need to find

\[\Large 2f(2x) = 2(4x^2-6x+4)\]

Answer 9

you are correct

Answer 10

\[\Large 2f(2x) = 8x^2-12x+8\]

Answer 11

okay thanks

Answer 12

yw