if F(x)=3x-9 and g(x)=-2x+2, find ( f o g )(fx)

Question

if F(x)=3x-9 and g(x)=-2x+2, find ( f  o  g )(fx)

anonymous · Answer

It is basically:

f(g(f(x)) right>>

lgbasallote · Answer

(f o g)(f(x) means f(g(f(x) ) )

so first find g(f(x) )

g(f(x) ) = -2 (f(x ) ) +2

now sub in the value of f(x)

-2(3x - 9) +2
-6x + 18 +2
-6x + 20

now sub this in into f(x)

f(g(f(x) ) ) = 3(-6x + 20) - 9
-18x + 60 - 9
-18x +51

do you get that?

anonymous · Answer

No. I had a typo. It really is (f   o  g)(x)

anonymous · Answer

Then it is f(g(x))..

put g(x) in place of x in f(x)

That is:

replace x by -2x + 2 in f(x)..

f(x) = 3x - 9

f(-2x + 2) = 3(-2x + 2) - 9

f(g(x)) = -6x + 6 - 9

Or,

$$(f \;o \; g)(x) = -6x - 3$$

anonymous · Answer

Thank you !!!!!!!!!!!!!

anonymous · Answer

Welcome dear..