If #f(x)=x-5# and #g(x)=x^2+3#, how do you find f[g(-2)]?
To find ( f[g(-2)] ), first find ( g(-2) ), then substitute the result into ( f(x) ).
- Evaluate ( g(-2) ): ( g(-2) = (-2)^2 + 3 = 4 + 3 = 7 ).
- Substitute ( g(-2) ) into ( f(x) ): ( f(g(-2)) = f(7) ).
- Evaluate ( f(7) ): ( f(7) = 7 - 5 = 2 ).
Therefore, ( f[g(-2)] = 2 ).
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2
g(x) = x^2 + 3
f(g(-2)) = f(7) = 7 - 5 = 2, therefore
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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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