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Ganezh [65]
3 years ago
10

Find any points of discontinuity for the rational function... y=x-3/x^2-3x-10

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

y is undefined when the denominator is zero.

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If f(x)=3x+2,find f(f^-1(14)).
lisov135 [29]

Answer:  14

<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

x = 3y + 2

x - 2 = 3y

\dfrac{x-2}{3}=y

\implies f^{-1}(x)=\dfrac{x-2}{3}

\implies f^{-1}(14)=\dfrac{14-2}{3}

\implies f^{-1}(14)=\dfrac{12}{3}

\implies f^{-1}(14)=4

f(f⁻¹(14)) = f(4)

              f(4) = 3(4) + 2

                     = 12 + 2

                     = 14

NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

4 0
3 years ago
Find f(3).<br><br> f(x) = x2 + 5x - 9<br> A) 7 <br> B) 10 <br> C) 9 <br> D) 15
Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

<u>Numeric Value of a Function</u>

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

f(x)=x^2+5x-9

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

f(3)=3^2+5(3)-9

f(3)=9+15-9

f(3)=15

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0
3 years ago
What is the first numbers of pi?
kirza4 [7]
3,141......
_____________________________
5 0
3 years ago
Read 2 more answers
A university has 28,980 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of st
anygoal [31]
Word | know | Unknown
Language| 12 | x
Total | 180 | 28980
Use cross multiply:
12(28980) = 180(x)
347760 = 180x
347760/180=1932
5 0
3 years ago
Richard earns 2700 a month. He received a 3% raise. What is Richards new annual salary
elena-14-01-66 [18.8K]

2700 \times 103\% = 2781 \: (monthly) \\ 2781 \times 12 = 33372 \: (annual)
The answer is $33,372

Hope this helps.

- Max
7 0
3 years ago
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