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prohojiy [21]
3 years ago
15

If f(x)=3/4 and g(x)=3x which statement is true trust me I've tried

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0
The answer is D.

f(x) = 3/x
g(x) = 3x

(g * f)(-9) = 3(3/-9)
(g * f)(-9) = 3(-1/3)
(g * f)(-9) = -1
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Need help on these, thank you!
tensa zangetsu [6.8K]

Answer:

5x+2 , 2x^2+5x-2,\frac{x^2+5x}{2-x^2}

Step-by-step explanation:

We are given f(x) and g(x)

1. (f+g)(x)

(f+g)(x) = f(x) + g(x)

           = x^2+5x+2-x^2

           = 5x+2

Domain : All real numbers as it there exists a value of (f+g)(x) f every x .

2. (f-g)(x)

(f-g)(x) = f(x)-g(x)

          = x^2+5x-2+x^2

          =2x^2+5x-2

Domain : All real numbers as it there exists a value of (f-g)(x) f every x .

Part 3 .

(\frac{f}{g})(x)\\(\frac{f}{g})(x) = \frac{f(x)}{g(x)}\\=\frac{x^2+5x}{2-x^2}

Domain : In this case we see that the function is not defined for values of x for which the denominator becomes 0 or less than zero . Hence only those values of x are defined for which

2-x^2>0

or 2>x^2

   Hence taking square roots on both sides and solving inequality we get.

-\sqrt{2}

8 0
4 years ago
the wind on any random day in bryan is normally distributed with a standard deviation of 5.1 mph. a sample of 16 random days in
Karolina [17]

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

In the given situation the wind on a random day in Bryan  is normally distributed with the following values;

Standard Deviation = ( δ ) = 5.1 mph

A random day of 16 is taken into account for the consideration of Bryan's average value of 19mph.

n = 16

By taking the confidence level of T - Factor, we get the;

At a 98% confidence level, the t is,

tα /2,df = t₀.₀₄,₂₄ = 2.492                ( df = hours in a day)

Margin of error = E = tα/2,df * (δ /√n)

                              = 2.492 * (5.1 / √16)

                              = 3.177

The 98% confidence interval estimate of the population mean is,

x - E < μ < x + E

19 - 3.177 < μ < 19 + 3.177

15.823 < μ < 22.177

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

To learn more about Standard Deviation click here:

brainly.com/question/13905583

#SPJ4

7 0
1 year ago
A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P
bezimeni [28]
Since there is replacement, drawings are independent which means that the result of one of them does not affect the others.
Probability of drawing an apple is 4/10 (4 apple out of 10 fruits)
Probability of drawing an apricot is 2/10
Probability on one happening consecutively to the other (thanks to independence) is 4/10*2/10=8/100
Which can be simplified to 2/25
6 0
3 years ago
Amy paid 62.41 for a pair of running shoes during a 25% off sale what was the regular price
padilas [110]
Let x= the regular price
.75x=62.41
x is about 83.21
3 0
3 years ago
Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?
Juliette [100K]

9514 1404 393

Answer:

  x ≈ -4.9

Step-by-step explanation:

There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.

  x ≈ -4.9

_____

Using iterative techniques, the calculator can give an answer to the full precision available. It is ...

  x ≈ −4.91733286844

6 0
3 years ago
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