SOLUTION: Given the functions {{{ f(x) = 3x + 2 - 4/x }}} and {{{ g(x) = 2 - 3x }}} , find the indicated values. a) {{{ f(a+b) }}} b) {{{ g(a)

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Question 949270: Given the functions and , find the indicated values.
a)

b)

Please explain how you figured out the answer, I appreciate any help you can provide. Thank you!
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Given the functions f(x) = 3x + 2 - 4/x and g(x) = 2 - 3x , find the indicated values.
a) f(a+b)= 3(a+b) + 2 - 4/(a+b) = [3(a+b)^2 + 2(a+b) - 4]/(a+b)
= [3a^2 + 6ab + 3b^2 + 2a + 2b]/(a+b)
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Cheers,
Stan H.
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b) g(a) - g(a-b) + f(a)
[2-3a - [2-3(a-b)] + [3a+2]
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= 2-3a-[2-3a+3b] + 3a+2
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= 2-3a-2+3a-3b+3a+2
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= 3a -3b +2
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Cheers,
Stan H.
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Please explain how you figured out the answer, I appreciate any help you can provide. Thank you!

SOLUTION: Given the functions {{{ f(x) = 3x + 2 - 4/x }}} and {{{ g(x) = 2 - 3x }}} , find the indicated values. a) {{{ f(a+b) }}} b) {{{ g(a) - g(a-b) + f(a) }}} Please