Let #f(x) =7x+4# and g(x) = x7 how do you find (fog)(x)?
To find ( (f \circ g)(x) ), which is the composition of functions ( f(x) ) and ( g(x) ), follow these steps:

Replace ( x ) in ( f(x) ) with the expression for ( g(x) ): [ f(g(x)) = 7(g(x)) + 4 ]

Substitute the expression for ( g(x) ), which is ( x  7 ), into the equation: [ f(g(x)) = 7(x  7) + 4 ]

Simplify the expression by distributing and combining like terms: [ f(g(x)) = 7x  49 + 4 ] [ f(g(x)) = 7x  45 ]
Therefore, ( (f \circ g)(x) = 7x  45 ).
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It may be less confusing to use different variables in the two function definitions.
For example:
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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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