Answer:
(f + g) (x) = 5x - 11
(f - g) (x) = x + 3
Step-by-step explanation:
f(x) = 3x - 7
g(x) = 2x - 4
to find ; (f + g) (x) and (f - g) (x)
now,
(f + g ) (x) = f (x) + g(x)
= (3x - 7) +( 2x - 4 )
= 3x - 7 + 2x - 4
= 5x - 11
again ,
(f - g ) (x) = f(x) - g(x)
= (3x - 7) - (2x - 4)
= 3x - 7 - 2x + 4
= x + 3
Answer:
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Step-by-step explanation:
Please, srry for sp
3bc is the answer to your problem
Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
The slope of the line is 5