Answered

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f(x) = 2x + 5 and g(x) = 5x², find (fog)(x)

Sagot :

Answer:  [tex]10x^2+5[/tex]

Work Shown:

[tex]f(x) = 2x+5\\\\f(g(x)) = 2(g(x))+5\\\\f(g(x)) = 2(5x^2)+5\\\\f(g(x)) = 10x^2+5\\\\(f \circ g)(x) = 10x^2+5\\\\[/tex]

Notice how I started with the outer function f(x). Then I replaced every x with g(x), followed by plugging in g(x) = 5x^2.

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