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earnstyle [38]
4 years ago
5

If Lylah completes the square for f(x) = x 2 + 24x -18 in order to find the minimum, she must write f(x) in the general form f(x

) = (x − a)^2+ b. What is the value of b for f(x)?
Explain (tell me word for word how you arrived at the answer above, include screenshots if necessary) how you found the solutions in detail.
Mathematics
1 answer:
olga nikolaevna [1]4 years ago
3 0

Answer:

Step-by-step explanation:

F(x)=  (x − a)2 + b

Rewrite the equation as (X-a)2 + b= f(X) (X-a)2 + b= f(X)  subtract (x-a)^2 from both sides of the equation b=f(x)- (x-a)^2

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F(x) = ^3 Squared 3x g(x) = 32 + 2 Find (f/g) (x)
Lunna [17]

By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to (f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}.

<h3>How to find the expression of a division between two functions</h3>

In <em>functional</em> theory, there are five operations that can be used between two functions:

  1. Addition - (f + g) (x) = f(x) + g(x)
  2. Subtraction - (f - g) (x) = f(x) - g(x)
  3. Multiplication - (f · g) (x) = f(x) · g(x)
  4. Division - (f/g) (x) = f(x) / g(x)
  5. Composition - (f ο g) (x) = f (g (x))

In this question we are asked to derive the expression of the division between two functions given. If we know that f(x) = \sqrt[3]{3\cdot x} and g(x) = 3 · x + 2:

(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}

By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to (f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}.

<h3>Remark</h3>

The statement is poorly formatted and reports many typing mistakes. Correct statement is shown below:

Let f(x) = \sqrt[3]{3\cdot x} and g(x) = 3 · x + 2. Find (f/g) (x).

To learn more on functions: brainly.com/question/12431044

#SPJ1

6 0
2 years ago
Find the greatest factors of each set of numbers 30 48 and 60
Sveta_85 [38]
I think the answer would be 3
4 0
3 years ago
Please answer help is need.<br> attach below
Serjik [45]

Answer:

it should be 1/6 as there are six sides but only one 1.

Step-by-step explanation:

8 0
2 years ago
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Consider the following function y=5/3x+2
galina1969 [7]

Answer:

y-2=5/3x

y-2/5=3x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the L.C.M of 12,16, and 30
torisob [31]

Answer:

240

Step-by-step explanation:

First, keep finding mulltiples untill you find one common one. (I really don't want to write them out until you get 240, so I'll show you what you multiply to get to it)

12*20=240

24*10=240

30*8=240

5 0
3 years ago
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