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gayaneshka [121]
3 years ago
7

If f(x) = x + 8 and g(x) = -4x - 3, find (f-g)(x)

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

(f-g)(x) = 5x+11

Step-by-step explanation:

Given

f(x) = x + 8

g(x) = -4x - 3

as

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

          = (x+8) - (-4x-3)

          = x+8+4x+3

          = 5x+11

Thus,

(f-g)(x) = 5x+11

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Deffense [45]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's define some terms</u>:

  • Domain: the set of inputs in the function (<em>in this case, it is x)</em>
  • Range: the set of all of the possible outputs (in this case, it is y)

<u>Let's find the domain:</u>

   For log(x),

           ⇒ the only inputs that are accepted are nonnegative and nonzero

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<u>Now let's find out the range</u>:

    The biggest constraint of the output is log(x)

         ⇒ however log(x) has a range of (-∞,∞)

             ⇒ therefore the entire equation's range is

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<u>Answer:</u>

  • <u>Domain: (0,∞)</u>
  • <u>Range: (-∞,∞)</u>

Hope that helps!

#LearnwithBrainly

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2 years ago
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We have been given that at north shire high school 87.5% of the teachers have a masters degree. Total number of teachers is 128.

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