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Barrelracing
 one year ago
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.
A) 91
b) 33
c) 25
d) 35
Barrelracing
 one year ago
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3. A) 91 b) 33 c) 25 d) 35

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint, by definition of compiste function, we can write this: \[\Large f\left( {g\left( x \right)} \right) = 2g\left( x \right) + 1 = 2\left( {  5x + 2} \right) + 1 = ...?\]

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0do I have to plug something in or just solve?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1solve as an algebraic expression

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: \[\Large 2\left( {  5x + 2} \right) + 1 =  10x + 4 + 1 = ...?\]

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0it all cancels out. 10x + 4 + 1 = 10x + 4 + 1

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now simplify further, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1ok! so we got this: \[\Large f\left( {g\left( x \right)} \right) =  10x + 5\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please substitute x=3 at the right side, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1\[f\left( {g\left( 3 \right)} \right) =  25\]

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much for your help
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