Let #u(x)=2x1# and #w(x)=x^2#, how do you find u(w(4)) and w(u(4))?
To find the values of ( u(w(4)) ) and ( w(u(4)) ), follow these steps:

First, find ( w(4) ) by substituting ( x = 4 ) into the function ( w(x) = x^2 ).
( w(4) = (4)^2 = 16 )

Next, find ( u(w(4)) ) by substituting the value of ( w(4) ) into the function ( u(x) = 2x  1 ).
( u(w(4)) = u(16) = 2(16)  1 = 31 )

Now, find ( u(4) ) by substituting ( x = 4 ) into the function ( u(x) = 2x  1 ).
( u(4) = 2(4)  1 = 9 )

Finally, find ( w(u(4)) ) by substituting the value of ( u(4) ) into the function ( w(x) = x^2 ).
( w(u(4)) = w(9) = (9)^2 = 81 )
Therefore, ( u(w(4)) = 31 ) and ( w(u(4)) = 81 ).
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u(w(4))=31 w(u(4))=81
w(u(4))
u(w(4))
hope this helps
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When evaluating a onesided 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.
When evaluating a onesided 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.
When evaluating a onesided 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.
When evaluating a onesided 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.
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