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Sedbober [7]
4 years ago
9

If (x) = -54 - 4 and g(x) = -3x - 2. find (f - g)(x).

Mathematics
1 answer:
Sholpan [36]4 years ago
4 0

Set up the composite result function.

f

(

g

(

x

)

)

Evaluate

f

(

g

(

x

)

)

by substituting in the value of

g

into

f

.

4

(

x

−

2

)

Apply the distributive property.

f

(

x

−

2

)

=

4

x

+

4

⋅

−

2

Multiply

4

by

−

2

.

f

(

x

−

2

)

=

4

x -8

Step-by-step explanation:

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Hello,

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 \dfrac{1}{3*4} = \dfrac{1}{3} - \frac{1}{4} \\

...\\
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Adding member by member, we have

\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\
 
\dfrac{1}{1}  - \dfrac{1}{n+1} \\

= \dfrac{n}{n+1} \\



if n=100 sum \boxed{= \dfrac{100}{101} }


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MrRissso [65]

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Step-by-step explanation:

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Step-by-step explanation:

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