aidenbean21
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Find fog and gof, if they exist. State the domain and range for each.
f={(-8,-4), (0,4), (2,6), (-6,-2)}
g= {(4,-4), (-2,-1), (-4,0), (6,-5)}
fog = Select Choice
Domain: Select Choice
Range: Select Choice
=
gof Select Choice
Domain: Select Choice
Range: Select Choice



Answer :

GinnyAnswer
To find fog and gof, we need to understand the compositions of functions. 1. For fog (f o g): - First, find g(f(x)). Substitute the x-values from f into g. - For example, g(f(-8)) = g(-4) = ? (Check the value of g at -4) - Repeat this process for all x-values in f to get the composition. 2. For gof (g o f): - Similarly, find f(g(x)). Substitute the x-values from g into f. - For example, f(g(4)) = f(-4) = ? (Check the value of f at -4) - Repeat this process for all x-values in g to get the composition. After finding both compositions, determine the domain and range for each: - Domain is the set of all input values that can be used. - Range is the set of all output values that can be obtained. Remember to consider the input and output values from each composition to determine the domain and range for fog and gof.

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