How do you find g[f(x)] if #g(x) = x^2# and #f(x) = x + 3#?
Christian AntunezTo find ( g[f(x)] ) given ( g(x) = x^2 ) and ( f(x) = x + 3 ), first substitute ( f(x) ) into ( g(x) ). This gives ( g[f(x)] = (x + 3)^2 ). Then, expand ( (x + 3)^2 ) to get the final expression for ( g[f(x)] ), which is ( x^2 + 6x + 9 ).
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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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