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3 years ago

Which function has an inverse that is also a function?

Mathematics

1 answer:

Zina [86]3 years ago

7 0

Answer:

G(x) = 2x - 3 has a linear inverse which is a function.

k(x) = -9x2 has a square root inverse that is a function on only the interval x < 0.

Step-by-step explanation:

The inverse of a function is a reflection across the y=x line. This results in switching the values of the input and output or (x,y) points to become (y,x). This can be done algebraically in an equation as well. Begin by switching the x and y in the equation then solve for y.

x = 2y - 3 -------> y = x/2 + 3/2 is linear and a function.

-9y2 = x --------> y = √(-x/9) is a square root that is a function on only the interval x < 0.

Absolute value does not have an inverse function.

x = -20 is a vertical line which is not a function.

Brainliest please?

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For a random sample of Harvard University psychology majors, the responses on political ideology had a mean of 3.18 and standard

Nutka1998 [239]

Answer:

From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right

Step-by-step explanation:

From the question we are told that

Sample mean $\=x_1=3.18$

Standard deviation $\delta_! =1.72$

Sample size $n_1 =51$

Sample mean $\=x_2=2.22$

Standard deviation $\delta_2 =0.67$

Sample size $n_2=20$

Generally this is a two tailed test

therefore

Null hypothesis = $h_0 :P_v_e_g= P_n_o_n_v_e_g$

Alternative hypothesis $H_a : P_v_e_g \neq P_n_o_n_v_e_g$

From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right

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3 years ago

Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing

lord [1]

Answer:

Company A: $y=40x+50$

Company B: $y=50x+25$

Step-by-step explanation:

The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.

Linear equation in slope-intercept form:

$y=mx+b$

where m is the slope and b is the y-intercept.

Company A charges $50 up front and $40 per hour afterwards, so the equation would be:

$y=40x+50$

Company B charges $25 up front and $50 per hour, so:

$y=50x+25$

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3 years ago

Which function equation is represented by the graph?

Murrr4er [49]

Answer:

I think the answer is D

Step-by-step explanation:

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3 years ago

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A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minute

Schach [20]

17 minutes

hope this helps!

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3 years ago

What is the value of the expression (x – 2y)(x + 2y) when x= 4 and y = 2?

Deffense [45]

Answer:

Step-by-step explanation:

To solve this, you first plug in the 4 and 2 where the x and y's go, making the expression (4 - 2(2))*(4 + 2(2)). Then you solve each parenthesis (below).

(4 - 2(2))*(4 + 2(2)).

(4 - 4)*(4 + 4).

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Hope this helped! If you have any questions, feel free to message me :)

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4 years ago