Thread: Functions..

Hi.
I'm having trouble with the following:

If f(x)=|2x+1| and g(x)=x-4, find f(g(1)) and g(f(1))

and

Find the equation of the linear function f if f(1)=-1 and f(4)=8

Thank you for looking it over,any help is greatly appreciated..

Originally Posted by Ai Ekio

Hi.
I'm having trouble with the following:

If f(x)=|2x+1| and g(x)=x-4, find f(g(1)) and g(f(1))

and

Find the equation of the linear function f if f(1)=-1 and f(4)=8

Thank you for looking it over,any help is greatly appreciated..

. Now evaluate at .

The other composite is similar.

Oh. I just notice the second half of the problem. To find an equation to a line given 2 points in the plane, simply make use of the point-slope form of a line,



where - in your case -

Thank you. =)