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Mice21 [21]
2 years ago
13

Given the graph of f(x), determine the range of f−1(x).

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
7 0

The graph of f(x) has a horizontal asymptote at y = 3, so its range is the interval union (-∞, 3) U (3, ∞).

The domain of its inverse is the same as the range of f, so the fourth option is correct.

You might be interested in
If y=3x+1 were changed to y=x+1 how would the graph of the new function compare with the original?
Olegator [25]
F(x)=3x+1  (preimage)
g(x)=x+1  (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)

In this case, 
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
5 0
4 years ago
Help me to solve thisssss​
m_a_m_a [10]

Answer:

(a + 3)

Step-by-step explanation:

a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)

a² + a - 6 = (a - 2)(a + 3)

a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)

HCF = (a + 3)

Hope it helps.

;)

<3

7 0
3 years ago
Use substitution to solve the system.<br><br> X= ?<br> Y= ?<br><br> 5x+4y = -10<br> x = 3y+17
nikklg [1K]

Answer:

x=3.4

y=-6.75

Step-by-step explanation:

5x+4y=-10  (equation 1 )

-5x+3y=-17  (equation 2)

7y=-27

y=-6.75

substitution (equation 1 ) y=-6.75

5x-27=-10

5x=17

x=3.4

4 0
3 years ago
Which equation is equivalent to<br> log5x^3 - logx^2 = 2?
Oksanka [162]

Answer:

the second option and x=20

4 0
3 years ago
Read 2 more answers
Después de 15 meses de haber prestado un capital al 5% de rédito, tengo que pagar de interés Q468.75. ¿Qué capital se ha prestad
Aleonysh [2.5K]

The capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The principal P, amount borrowed, at a certain rate of interest R%, for  a time of T years, giving an interest of I, can be calculated using the formula:

P = (I * 100)/(R * T).

In the question, we are asked to find the capital borrowed, that is, the principal, when the user pays Q468.75 after 15 months at 5% of income.

Thus, Interest (I) = Q468.75, rate of interest (R) = 5%, and time (T) = 15 months = 15/12 years = 1.25 years.

Thus, the principal P, can be calculated by substituting the values in the formula: P = (I * 100)/(R * T).

P = (468.75*100)/(5*1.25),

or, P = 46875/6.25,

or, P = 7500.

Thus, the capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The provided question is in Spanish. The question in English is:

"After 15 months of having borrowed capital at 5% of income, I have to pay Q468.75 in interest. What capital has been borrowed?"

Learn more about Interest at

brainly.com/question/25793394

#SPJ1

5 0
2 years ago
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