Fun With Functions

Algebra Level 2

If f ( 4 ) = 1 and g ( x ) = f ( x 3 ) f(-4)=1 \text{ and } g(x)=f(\frac{x}{-3}) , what point can you determine on the graph of g?

(6, 7) (12, 1) (8, -2) (-5, 4)

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1 solution

Aronas Nuresi
Jul 31, 2014

x 3 = 4 \frac{x}{-3}=-4

x = 12 x=12

g ( 12 ) = f ( 12 3 ) g(12)=f(\frac{12}{-3})

g ( 12 ) = f ( 4 ) g(12)=f(-4)

g ( 12 ) = 1 g(12)=1

( x , y ) = ( 12 , 1 ) \therefore (x, y)=(12, 1)

What do those 3 dots means? the ones that are to the left of your last expression.

mathh mathh - 6 years, 10 months ago

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= Therefore \therefore = \text{Therefore}

http://en.wikipedia.org/wiki/Therefore_sign

Aronas Nuresi - 6 years, 10 months ago

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