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Use the given functions to find (f.g)(x) *(5 Points)f (x) = 4x - 11, g(x) = 2x² + 7x – 10

User Yyunikov
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1 Answer

3 votes

f(x) = 4x - 11

g(x) = 2x² + 7x - 10

They ask you for (f o g)(x), so basically you need to replace the function g(x) in every x of the function f(x):

(f o g)(x) = f(g(x)) = 4( 2x² + 7x - 10 ) - 11

Using distributive property:

(f o g)(x) = f(g(x)) = 8x² + 28x - 40 - 11 = 8x² + 28x - 51

User Piasy
by
6.3k points
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