Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6
Y=3
3x+2=23
3x =21
x= 7
7(3) -2= 5(3)+4
19=19
x=19
3(7)+2=23
23= 23
Y=23
Adding and subtracting property
GCF - Greatest Common Factor
The numbers with a GCF of 2:
2 & 4, 2 & 8, 26 & 46...
LCM -Least Common Multiple
Numbers with an LCM of 60:
15 & 4, 12 & 5...
Hope it helps! :-)
Answered by
Answer:
Step-by-step explanation:
-2x²=-8x+8 means : -2x²+8x-8
the discrinant of the quadratic equation is : delta = b²-4ac
when a=-2 and b=8 and c= -8
calculate delta = (8)²-4(-2)(-8) ......continu
