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How do you find #p(-1)# given #p(a)=-4^(3a)#?

Answer 1

Isaiah Anthony

To find ( p(-1) ) given ( p(a) = -4^{3a} ), substitute ( -1 ) for ( a ) in the expression ( -4^{3a} ).

( p(-1) = -4^{3(-1)} )

( p(-1) = -4^{-3} )

( p(-1) = -\frac{1}{4^3} )

( p(-1) = -\frac{1}{64} )

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Answer 2

Ethan Adkins

#color(green)(- 1/64)#

If #p(color(red)(a))=-4^(3color(red)a)# then #color(white)("XXX")p(color(red)(-1))=-4^(3 * color(red)(""(-1)))#

#color(white)("XXXXX")=-4^(-3)#

#color(white)("XXXXX")=-1/(4^3)#

#color(white)("XXXXX")=-1/64#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.