How do you find the compositions given #g(x)=4x-1# and #h(x)=sqrt(x+3)#?
Madelyn AndersonExplained below.
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Benjamin AchtenbergTo find the composition of functions ( g(x) ) and ( h(x) ), denoted as ( (g \circ h)(x) ), you substitute ( h(x) ) into ( g(x) ) wherever there is an ( x ).
So, ( (g \circ h)(x) = g(h(x)) = g(\sqrt{x+3}) = 4\sqrt{x+3} - 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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