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f(x)=4x+7 and g(x)=3x-5.find (fog)(-4)

 Jul 1, 2017

Best Answer 

 #1
avatar+7347 
+3

\((f\circ g)(-4)=f(\,g(-4)\,)\)

 

f(x)  =  4x + 7                             Replace every instance of   x   with   g(-4)   .

f( g(-4) )  =  4( g(-4) ) + 7

 

 

And.....

g(x)  =  3x - 5                             Replace every instance of   x   with   -4   .

g(-4)  =  3(-4) - 5                        Simplify.

g(-4)  =  -17

 

f( g(-4) )  =  4( g(-4) ) + 7             On the right side, replace   g(-4)   with   -17

f( g(-4) )  =  4( -17 ) + 7               Simplify.

f( g(-4) )  =  -61

 Jul 1, 2017
 #1
avatar+7347 
+3
Best Answer

\((f\circ g)(-4)=f(\,g(-4)\,)\)

 

f(x)  =  4x + 7                             Replace every instance of   x   with   g(-4)   .

f( g(-4) )  =  4( g(-4) ) + 7

 

 

And.....

g(x)  =  3x - 5                             Replace every instance of   x   with   -4   .

g(-4)  =  3(-4) - 5                        Simplify.

g(-4)  =  -17

 

f( g(-4) )  =  4( g(-4) ) + 7             On the right side, replace   g(-4)   with   -17

f( g(-4) )  =  4( -17 ) + 7               Simplify.

f( g(-4) )  =  -61

hectictar Jul 1, 2017

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