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}}} }}
Answer: x = 2 Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
Let's solve for x:
4x + 6 + 2x = 18
4x + 2x = 12
6x = 12
x = 2
Hope this helps, please consider making me Brainliest.
Answer: 9
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle.
Equation for Kelli's earning = 20x + 100
Equation for Karl's earning = 25x + 50
Now, 20x +100 = 25x +50
25x-20x = 100-50
5x = 50
x = 10
So, your answer is 10 hours.
Hope this helps!
38,956 in expanded form is (3 x 10,000)+(8 x 1,000)+(9 x 100)+(5 x 10)+(6 x 1).
