If #f(x) = 8x-8# and #g(x) = 5x-7#, what is #f-g#?

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Answer 1 · 2017-05-04T21:25:35

See a solution process below:

#f(x) - g(x) = (8x - 8) - (5x - 7)#

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#f(x) - g(x) = 8x - 8 - 5x + 7#

Next, group like terms:

#f(x) - g(x) = 8x - 5x - 8 + 7#

Now, combine like terms:

#f(x) - g(x) = (8 - 5)x + (-8 + 7)#

#f(x) - g(x) = 3x + (-1)#

#f(x) - g(x) = 3x - 1#