Answer:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(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}}} }}(
g
f
)(x)=
4−5x
3x+2
Step-by-step explanation:
Answer: There was 5/8 of a foot of board left.
Step-by-step explanation:
Step 1. We need to subtract 1/4 from 7/8. To do this make it where both fractions have the same denominator.
Step 2. The easiest way to do this is to multiply 1/4 by 2.
1/4*2/2=2/8.
Step 3. Now all you got to do is subtract 2/8 from 7/8.
7/8-2/8= 5/8.
Step-by-step explanation:
0.2m^3 = 0.0000002 cm^3
The area of the square will be 196cm².
<h3>How to calculate the area?</h3>
It should be noted that the perimeter of a square is the addition of all its sides. Therefore, the length of the side will be:
= 56/4
= 14
Therefore, the area of the figure will be:
= 14²
= 14 × 14
= 196cm²
Learn more about area on:
brainly.com/question/25292087
#SPJ1
