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If g(x) = (x + 3)/4, for what value of x will g(2x) = 2(g(x)) ? Express your answer in simplest form.

 Jun 20, 2021
 #1
avatar+2252 
0

g(2x) = 2(g(x))

(2x + 3)/4 = 2((x + 3)/4)

(2x + 3)/4 = (x + 3)/2

2(2x + 3) = 4(x+3)

4x + 6 = 4x + 12

6 = 12???

I don't think this is possible.

 

=^._>^=

 Jun 20, 2021
 #2
avatar+795 
0

$\frac{2x+3}{4} = \frac{x+3}{2}$

$2x + 3 = 2x + 6$

$0 = -3$
$\boxed{\varnothing}$

 Jun 20, 2021

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