Sooo.... anyone know how to Find the inverse equation of the power function y=2x^4 and is it a function??

Question

unklerhaukus · Answer

solve for x

anonymous · Answer

So.... Would you divide by the power of 4?

unklerhaukus · Answer

divide by 2 first

unklerhaukus · Answer

then take the forth root of both sides $\sqrt[4]n$

anonymous · Answer

noooooo...... to find an inverse of a function you have to swap x and y. therefore your starting equation will be 2y^4=x then rearrange for y as the subject

unklerhaukus · Answer

but remember ± because is an even root

unklerhaukus · Answer

oh am i doing this wrong/

anonymous · Answer

end result will be $$\sqrt[4]{x/2}$$

unklerhaukus · Answer

±

anonymous · Answer

Thanks guys! Sill have a bit more problems. Its hard teaching myself so I'm on here often >.<

anonymous · Answer

And is that a function?

anonymous · Answer

its cool umm... no i dont think so... i need to draw the graph to prove it but   if it does not obey the vertical line rule then it is not a function

unklerhaukus · Answer

there are multiple values of the inverse 
for a single input because of the $\pm$