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Veseljchak [2.6K]
3 years ago
9

Let f(x) =4x-1 and g(x) = 2x^2 + 3 (fg)(x) , f/g(x), g/f(x)

Mathematics
1 answer:
sveta [45]3 years ago
6 0
F(x) = 4x - 1
g(x) - 2x² + 3

<u>(f · g)(x)</u>
(f · g)(x) = (4x - 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) - 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) - 1(2x²) - 1(3)
(f · g)(x) = 8x³ + 12x - 2x² - 3

<u>(f/g)(x)</u>
(f/g)(x) = <u>4x - 1</u>
             2x² + 3

<u>(g/f)(x)</u>
(g/f)(x) = <u>2x² + 3</u>
               4x - 1
(g/f)(x)= ¹/₂x + ¹/₈ + <u> 3¹/₈ </u>
                              4x - 1
You might be interested in
Write each as an algebraic expression
son4ous [18]
1. 4+w=
2. x*10=
3. 40/4=x
7 0
3 years ago
Please help me with those question please help with out number 1
alina1380 [7]

Answer:

1) For each value of x, a value of y is increased by 5.

x = 0, y = 5

x = 1, y = 10

x = 2, y = 15

x = 3, y = 20

------------------------------------------------------------------------------------------

2) For each two values of x, a value of y is increased by 10.

x = 0, y = -2

x = 2, y = 8

x = 4, y = 18

x = 6, y = 28

-------------------------------------------------------------------------------------------

3)

x = 0, y = 1

x = 1, y = \frac{7}{5}

x = 5, y = 3

x = 10, y = 5

-------------------------------------------------------------------------------------------------

4)

x = 0, y = 2

x = 1, y = 17

x = 2, y = 32

x = 5, y = 77

Step-by-step explanation:

This is as easy as replacing x for the actual value show on the table.

1)

y=5x+5

When x = 0, y = ?

y=5(0)+5\\y=0+5\\y=5

When x = 1, y = ?

y=5(1)+5\\y=5+5\\y=10

When x = 2, y = ?

y=5(2)+5\\y=10+5\\y=15

When x = 3, y = ?

y=5(3)+5\\y=15+5\\y=20

-------------------------------------------------------------------------------------------------------

2)

y=5x-2

When x = 0, y = ?

y=5(0)-2\\y=0-2\\y=-2

When x = 2, y = ?

y=5(2)-2\\y=10-2\\y=8

When x = 4, y = ?

y=5(4)-2\\y=20-2\\y=18

When x = 6, y = ?

y=5(6)-2\\y=30-2\\y=28

----------------------------------------------------------------------------------------------------

3)

y=\frac{2}{5}x +1

When x = 0, y = ?

y=\frac{2}{5}(0) +1

y=0 +1\\y=1

When x = 1, y = ?

y=\frac{2}{5}(1) +1\\y=\frac{2}{5} +1

y=\frac{2}{5}+1(\frac{5}{5})\\ y=\frac{2}{5}+\frac{5}{5}  \\y=\frac{7}{5}

When x = 5, y = ?

y=\frac{2}{5}(5) +1\\y=2+1\\y=3

When x = 10, y = ?

y=\frac{2}{5}(10) +1\\y=2(2) +1\\y=4+1\\y=5

-------------------------------------------------------------------------------------------------

4)

y=15x+2

When x = 0, y = ?

y=15(0)+2\\y=0+2\\y=2

When x = 1, y = ?

y=15(1)+2\\y=15+2\\y=17

When x = 2, y = ?

y=15(2)+2\\y=30+2\\y=32

When x = 5, y = ?

y=15(5)+2\\y=75+2\\y=77

4 0
3 years ago
Read 2 more answers
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m
stira [4]
1.5 minutes = 90 second

The probability density function is

f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}

so the probability of interest is

\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx
\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx
\mathbb P(X>90)=\dfrac{200-90}{170}=\dfrac{11}{17}\approx0.6471
5 0
3 years ago
Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. Part 1: reflection acr
amm1812

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (1, 4 ) → J' (- 1, 4 )

K (1, 0 ) → K' (- 1, 0 )

L (4, 3 ) → L' (- 4, 3 )

Plot the points J', K', L' and connect them in order to obtain image

4 0
3 years ago
Picture thanks a lot
kobusy [5.1K]
2.8 is the correct answer :)
7 0
3 years ago
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