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
Algebra.Com
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)
------------------
Cheers,
Stan H.
------------
b) g(a) - g(a-b) + f(a)
[2-3a - [2-3(a-b)] + [3a+2]
=====
= 2-3a-[2-3a+3b] + 3a+2
------
= 2-3a-2+3a-3b+3a+2
-----------------------
= 3a -3b +2
--------------------
Cheers,
Stan H.
------------
Please explain how you figured out the answer, I appreciate any help you can provide. Thank you!
RELATED QUESTIONS
Given the functions f(x)=3x+2-(4/x) and g(x)= 2-3x, find the indicated values.
a)... (answered by lynnlo)
For f(x) = 2−3x and g(x)= 3x – 2 , find the indicated values.
a) f(a + b)
b) g(a) (answered by josgarithmetic)
For f(x) = 2−3x and g(x)= 3x – 2 , find the indicated values.
1.) f(a + b)... (answered by MathLover1)
Find the indicated function values?
a)g(x)= x-5 g(5)
b)f(x)=3xsquared +... (answered by malakumar_kos@yahoo.com)
find the values, given the following equations:
f(x)=3^2-2x-4 and g(x)=3x-4
a. f(0)
b. (answered by stanbon)
Given the functions
f (x) = 3x + 2 – 4/x and g(x) = 2 - 3x find the indicated values.... (answered by stanbon)
Please show work.
Consider the functions:
f(x)=x^2+4
g(x)=x
a Find f(g(x))
b... (answered by rothauserc)
Given functions f and g, perform the indicated operations.
f(x)=9x+1, g(x)=6x-3
Find f... (answered by Fombitz)
Let f(x) = (x^2 + 3x - 4) and g(x) = (x + 4)
a. find f*g and state the domain
b. find... (answered by solver91311)