Function help needed!!!

[Trig ace]

i need help with this problem-If f(x)=x^-3/2, then f(1/4) is equal to
1)8 2)-2 3)-1/8 4)-4

 

[stapel]

Where are you stuck? You plugged "1/4" in for "x" and... then what?

Please be specific, showing all of your steps and reasoning. Thank you!

Eliz.

 

[Trig ace]

i am not sure of how to start it

 

[jonboy]

You start as Stapel said by plugging in (1/4) for x. So you have:\(\displaystyle \L \;f(\frac{1}{4})\,=\,(\frac{1}{4})^{\,-\,\frac{3}{2}\)

You don't do anything to the left side of the equal sign. It just tells you what you are solving for. Just simplify the right side of the equal sign.

 

[Trig ace]

then i could just type it into a calc?

 

[skeeter]

\(\displaystyle \L \left(\frac{1}{4}\right)^{-\frac{3}{2}} = 4^{\frac{3}{2}} = \left(4^{\frac{1}{2}}\right)^3 = (2)^3 = 8\)

 

[Trig ace]

thanx