All categories

2 years ago

Let f(x) = |x|, ????????(x) = f(x − 3), and h(x) = f(x + 2), where x can be any real number.

Mathematics

1 answer:

ra1l [238]2 years ago

5 0

Answer:

g(x)= |x-3|

h(x) = |x+2|

Step-by-step explanation:

1. Let g(x)=f(x-3), we can write the function in terms of |x| as:

g(x)= |x-3|

2. Let h(x)=f(x+2), the function can be rewrite in terms of |x| as:

h(x) = |x+2|

You might be interested in

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

WARRIOR [948]

Answer:

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

Step-by-step explanation:

given

$y = \log_{10}{(x^2+6x)}$

using the property of log $\log_ab=\frac{log_cb}{log_ca}$ , and if c = $e$ , $\log_ab=\frac{ln{b}}{ln{a}}$ , we can rewrite our function as:

$y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}$

now we can easily differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)$

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)$

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

This is our answer!

3 0

2 years ago

Read 2 more answers

Katrina goes to Road Runner after school and purchases a soda for 1.50, chips for 3.50 and a candy bat for 0.50 An additional 8%

Nutka1998 [239]

Answer:

Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

Solution:

Given that Katrina goes to road runner after school and purchase following three products

A soda for 1.50

Chips for 3.50

Candy for 0.50

Also she pays 8% sales tax.

Need to determine amount paid in sales tax and total amount paid by Katrina.

lets first calculate amount she paid without taxes.

Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50

As she paid 8% sale tax , that is 8 % of 5.50

so sale tax paid = $\frac{8}{100} \times 5.50 = 0.44$

Total amount paid = Total amount paid without taxes + tax paid

= 5.50 + 0.44 = 5.94

Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

7 0

2 years ago

What is the slope of the equation y – 3 = –4(x – 5)?

Gemiola [76]

Find the x and y intercepts or any other 2 points. (I advise you finding the y intercept though.)

then calculate for slope using:
y(2) - y(1)
________
x(2) - x(1)

The (2) and (1) are not exponents they are small numbers at the bottom of the numbers.

The slope is: 4

8 0

2 years ago

Find the solution set the this inequality 2x -3 > 2x-5/2

prohojiy [21]

Answer:

0> 1/2

Step-by-step explanation:

5 0

11 months ago

Please help me at this wit steps how did you did it

balu736 [363]

Answer:

5. LCM of 7 and 14: 14.

multiples of 7: 7, 14

multiples of 14: 14

LCM of 8 and 12: 24.

multiples of 8: 8, 16, 24

multiples of 12: 12, 24

Step-by-step explanation:

$.$

5 0

2 years ago