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vfiekz [6]
2 years ago
5

16) w(x) = 4x + 4; Find w(x + 4)

Mathematics
1 answer:
Zina [86]2 years ago
3 0

\\ \tt\hookrightarrow w(x)=4x+4=4(x+1)

Now

\\ \tt\hookrightarrow w(x+4)=4(x+4+1)

\\ \tt\hookrightarrow w(x+4)=4(x+5)

\\ \tt\hookrightarrow w(x+4)=4x+20

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If X=3+√8, find X square + 1/x square<br>​
irina1246 [14]

Given :-

  • x = 3 + √8

To find :-

  • x² + 1/x²

Solution :-

<u>According</u><u> to</u><u> Question</u><u>,</u>

  • x = 3 + √8
  • 1/x = 1/3-√8
  • 1/x = 1(3+√8)/(3+√8)(3-√8)
  • 1/x = 3+√8/3²-(√8)²
  • 1/x = 3+√8/9-8
  • 1/x = 3 + √8

<u>So </u><u> </u><u>that</u><u> </u><u>,</u>

  • x² + 1/x²
  • (x + 1/x)² - 2
  • ( 3+√8+3-√8)²-2
  • 9² - 2
  • 81 - 2
  • 79

5 0
3 years ago
What is the inverse of the function f(x) = 1/4x-12?
Marrrta [24]

Answer:

\huge\boxed{f^{-1}(x)=4x+48}

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

  • Step 1: Write the function as y=mx+b
  • Step 2: Swap all x and y values
  • Step 3: Solve for y
  • Step 4: Replace y with f^{-1}(x)

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function y=\frac{1}{4}x-12.

Step 2: We can swap where the x and y values are, making our equation

x = \frac{1}{4}y-12

Step 3: We can now solve for y.

  • x = \frac{1}{4}y-12
  • x + 12 = \frac{1}{4}x
  • 4x+48 =y

We now have the function as y = 4x+48.

Step 4: We can now replace the y with f^{-1}(x).

f^{-1}(x) =4x+48

Therefore the inverse of f(x) = \frac{1}{4}x-12 is f^{-1}(x) =4x+48.

Hope this helped!

8 0
3 years ago
Help please? anyone?
Murljashka [212]

Answer:

with what

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?
Angelina_Jolie [31]

Answer:

633,870,000

Step-by-step explanation:

Add it together either on a calculator of a sheet of paper.

4 0
3 years ago
Read 2 more answers
The smaller of two numbers is one-half the larger, and their sum is 27. Find the<br> numbers.
I am Lyosha [343]

Answer:

  9 and 18

Step-by-step explanation:

The numbers are in the ratio 1 : 2, so the ratio of the smaller to the total is ...

  1 : (1+2) = 1 : 3

1/3 of 27 is 9, the value of the smaller number. The larger number is double this, so is 18.

The numbers are 9 and 18.

7 0
3 years ago
Read 2 more answers
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