Test your knowledge of functions

Calculus Level 1

If f ( − 5 ) = 1 f(-5) = 1 and g ( x ) = f ( x − 3 ) g(x) = f(\frac{x}{-3})

Which one of the choices can be determined on the graph of g g ?

(-64,9) (-8,4) (6,7) (12,-5) (15,1)

Hammadi Agharrass by Hammadi Agharrass , 22, Morocco

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1 solution

We have f ( − 5 ) = 1 f(-5)=1 . We are given only this information thus we can determine only f ( − 5 ) f(-5) .

Hence x − 3 = − 5 \dfrac{x}{-3}=-5 or x = 15 x=15 .

Hence g ( 15 ) = f ( − 5 ) = 1 g(15)=f(-5)=1 which is the point ( 15 , 1 ) (15,1) .

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