Given the functions #g(x) = (2x) (1/2)#, #f(x) = x^2 + 1 # what is f(g(x))?
Caleb AlexanderTo find ( f(g(x)) ), substitute ( g(x) ) into the function ( f(x) ):
[ f(g(x)) = (g(x))^2 + 1 ]
[ f(g(x)) = ((2x)^{\frac{1}{2}})^2 + 1 ]
[ f(g(x)) = (2x)^{\frac{1}{2} \times 2} + 1 ]
[ f(g(x)) = (2x) + 1 ]
So, ( f(g(x)) = 2x + 1 ).
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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.
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.
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.
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.
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