Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (
), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:

which rounded to the nearest tenth is: 7.5 m
Answer:
x > 
Step-by-step explanation:

Add 3 and 1 to get 4.

Use the distributive property to multiply 5 by 9−x.

Subtract 45/5 from both sides.

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.


The correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given function:
h(x) = -(x+6)³-3.
The given function is cubic and cuts the x-axis at the point (-7.442,0) the graph is bending towards the left side in the second quadrant.
Therefore the correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
To know more about graphs follow
brainly.com/question/25020119
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The page numbers must have a difference of one, so:
n * (n+1) = 182
n^2 + n -182 =0
Solving by the quadratic formula we see n = 13 and n+1 = 14