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Iteru [2.4K]
3 years ago
6

Analyze a graph In Exercise,analyze and sketch the graph of the function.Label any relative extrema, points of inflation,and asy

mptotes.
f(x) = e^x - e^-x/2

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Given is a function f(x)

f(x) = e^x -e^{-\frac{{x}}{2}

We have to analyse and sketch the graph

X intercept : Put y =0, we get x=0

Y intercept: Put x =0 , we get y =0

No exception for x or y and hence set of all real numbers is domain and range.

f'(x) = (e^x +1/2 e^{-\frac{{x}}{2})

f' becomes 0 not at finite points

So relative extreme

Graph is sketched and attached

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PLEASE HELP! 25 PTS!!
zubka84 [21]

Answer:

Solution given:

f(x)=\frac{x-16}{x^2+6x-40}

g(x)=\frac{1}{x+10}

now

f(x)+g(x)=\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}....(1)

now

factoring x²+6x-40

we get

x²+10x-4x-40

x(x+10)-4(x+10)

(x+10)(x-4)

now substituting in equation 1 ,we get

f(x)+g(x)=\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}

taking l.c.m

=\frac{(x-16)+(x-4)}{(x-10)(x-4)}

=now

opening bracket

\frac{x-16+x-4}{x²-10x-4x+40}

=\frac{2x-20}{x²+6x-40}

So

answer is :

B. \bold b\frac{2x-20}{x^2+6x-40}

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2 years ago
What is the simplest form of this expression? (x^-3)^1/3
IrinaK [193]
The simplest form is, <span>x-1 </span>
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6 0
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Step-by-step explanation

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3 years ago
Find x. Perimeter.<br><br> What is the value of x?<br><br> What is the perimeter of this triangle?
gladu [14]

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

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Molodets [167]

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Step-by-step explanation: trust me

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