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If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?

If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?-example-1
User Gplayer
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1 Answer

6 votes

Answer: x cannot equal 4/5 (3rd choice)

Explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

User Mayur Agarwal
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