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2 years ago

2. f(x) = √x-5 What is the domain and range

Mathematics

1 answer:

Dafna1 [17]2 years ago

3 0

Answer:

solution - x is less then or equal to 5

Step-by-step explanation:

the domain of a function is the set of input or argument values for which the function is real and defined.

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Use the definition mtan=lim

Leokris [45]

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

$\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h$

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

$m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x$

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

4 0

1 year ago

How do you find the range of a function?

NISA [10]

For more difficult cases, it may be easier to draw the graph first using the domain if possible and then determine the range graphically.See if you can find the inverse function. The domain of a function's inverse function is equal to that function's range.Check to see if the function repeats.

8 0

2 years ago

PLS HELP ME ASAP! The height and width of a rectangular prism are 26 yards and 24 yards respectively. Find the length of the

Allushta [10]

Answer:

The length is 30 cubic yards.

Step-by-step explanation:

To find volume you use equation V=LxWxH

Since we already know the height, width, and volume we can input them into the equation.

18,720=L x 24 x 26

As you can see, the length is still unknown.

To figure it out though, you can multiply the height and width of the prism,

24 x 26 = 624

And then divide the volume, 18,720 by it.

18,720/624 = 30

Thus, your length is 30 cubic yards.

8 0

2 years ago

100 points on the line Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of

zimovet [89]

Answer:

Step-by-step explanation:

Area of rectangle A is 2 and area of B is 18. 18 divided by 2 is 9. Therefore rectangle B is 9 times the area of rectangle A

6 0

2 years ago

It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT, but scores 1600 and above

Citrus2011 [14]

Answer:

The proportion of scores reported as 1600 is 0.0032

Step-by-step explanation:

Let X be the score for 1 random person in SAT combining maths and reading. X has distribution approximately N(μ = 1011,σ = 216).

In order to make computations, we standarize X to obtain a random variable W with distribution approximately N(0,1)

$W = \frac{X-\mu}{\sigma} = \frac{X-1011}{216} \simeq N(0,1)$

The values of the cummulative distribution function of the standard Normal random variable, lets denote it $\phi$ are tabulated, you can find those values in the attached file. Now, we are ready to compute the probability of X being bigger than 1600

$P(1600< X) = P(\frac{1600-1011}{216} < \frac{X-1011}{216}) = P(2.7269 < W) = 1- \phi(2.7269)\\= 1- 0.9968 = 0.0032$

Hence, the proportion of scores reported as 1600 is 0.0032.

Download pdf

5 0

3 years ago