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artcher [175]
3 years ago
9

If f(x)= x2/x+3, find f(x+h)?

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

f(x+h) =  \frac{x^{2}+2xh+h^{2}  }{x+h+3}

Step-by-step explanation:

Given,

f(x) = \frac{x^{2} }{x+3}

To find the value of f(x+h) we need to replace x by x+h

Hence,

f(x+h) = \frac{(x+h)^{2} }{x+h+3}

= \frac{x^{2}+2xh+h^{2}  }{x+h+3}

[Here, we apply the formula of (a+b)^{2}= a^{2} +2ab+ b^{2}]

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f(x) = |x| and g(x) = |x| + 3 The translation applied to get the graph of g(x) from the graph of f(x) is .
murzikaleks [220]

Answer:

a vertical translation of 3 units upward

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?
riadik2000 [5.3K]

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

3 0
2 years ago
If you have the points (100,3.5), (200,7), (300,10.5), (400,14), (500,17.5). What is the function B(x)?
jeka57 [31]
The function rule is B(x)=0.035x
7 0
2 years ago
Find the value of x. The diagram is not to scale.
DiKsa [7]

Sum of interior angles in a pentagon=540°

148+112+2x+2x+10+90=540

360+4x=540

4x=540-360

4x=180

x=180/4

x=45°

5 0
2 years ago
Which of the following best describes a cylinder?
alexandr1967 [171]
Hey there!

The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side. 

The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs). 

The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer. 

The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer. 

Your answer will be B. Hope this helped you out! :-)
5 0
3 years ago
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