If f(−4)=1 and g(x)=f(x/−3), what point can you determine on the graph of g?

[Crigano]

If f(−4)=1 and g(x)=f(x/−3), what point can you determine on the graph of g?

If f(−4)=1 and g(x)=f(x/−3), what point can you determine on the graph of g?

I got the answer (12,1) but have no idea how.

Could someone provide me the thought process step by step. Thanks!

 

[Ishuda]

If f(−4)=1 and g(x)=f(x/−3), what point can you determine on the graph of g?
I got the answer (12,1) but have no idea how.

Could someone provide me the thought process step by step. Thanks!

if x/(-3) is -4 what is x?

 

[pka]

I got the answer (12,1) but have no idea how.
Could someone provide me the thought process step by step. Thanks!

What is the one value \(\displaystyle f\) do you know?

If \(\displaystyle \dfrac{x}{-3}=-4\) then \(\displaystyle x=~?\)

Those are the steps.

 

[SeaGray]

thought process

if x/(-3) is -4 what is x?

How do you know that's the question you're supposed to answer?

By looking at the 2 functions, how do you know the objective is to figure out what you can divide by -3 to get -4? How does knowing that an input of -4 will give an output of 1 tell you that you're supposed to try and solve for x/-3 = 4?

Haven't had calculus in 25 yrs and am taking a refresher on coursera for some unknown reason and seems my biggest problem is understanding how things relate to each other. Thanks!!

 

[Steven G]

How do you know that's the question you're supposed to answer?

You ONLY know f(4), not f(3), not f(24/13), just f(4).
Now, if by chance x/-3 =-4 then f(x/-3)=f(-4)=1
Now, x/-3 = -4 implies x=12.
So g(12)=f(12/-3)=f(-4) which is great since we know that f(-4)=1. That is g(12)=1