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Arturiano [62]
1 year ago
7

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).​

Mathematics
2 answers:
viva [34]1 year ago
5 0

Answer:

-x2 + 2x + 8

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next, you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly, put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

vitfil [10]1 year ago
3 0

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - (x² - 7) ← distribute parenthesis by - 1

= 2x + 1 - x² + 7 ← collect like terms

= - x² + 2x + 8

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Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
weeeeeb [17]

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B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

<u>Explanation</u>:-

<em>  Given  Event A and Event B are mutually exclusive.</em>

<em>   Given data P(A) = 0.45 </em>

<em>                      P(B) = 0.35</em>

<em>                      P(C) = 0.25</em>

<em>The probability of the complement of Event A</em>

<em>                    P( A⁻ ) = 1 - P( A)</em>

                              =  1 - 0.45

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<u><em>Final answer</em></u>:-

<em>The probability of the complement of Event A = 0.55</em>

   

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