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F(x)=2x+5,g(x)=6x−1. Find (f∘g)(x).

F(x)=2x+5,g(x)=6x−1. Find (f∘g)(x).
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F(x)=2x+5,g(x)=6x−1. Find (f∘g)(x).

User Michaeltang
by
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1 Answer

2 votes

Answer:

(f ￮ g )(x) = 12x + 3

Explanation:

to find (f ￮ g )(x) , substitute x = g(x) into f(x)

(f ￮ g )(x)

= f(g(x))

= f(6x - 1)

= 2(6x - 1) + 5 ← distribute parenthesis

= 12x - 2 + 5 ← collect like terms

= 12x + 3

User Jigs
by
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