Answer:
- f¯¹(x) =9x+18, for the pictorial(image) question
- what is the send question is it asking derivative or inverse
- If it is inverse f¯¹(x)=-x-2 as it is
- Or if it is derivative f'(x)=-1
Step-by-step explanation:
<h2>
For the image question f(x)=1/9x-2,f¯¹(x)=?</h2>
- f(x)=1/9x-2............given
- y=1/9x-2................swapping f(x) by y to Easily write
- x=1/9y-2................interchanging x and y
- 1/9y-2=x................changeling side of equation
- 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side
- y-18=9x
- y=9x-18.................Return to where it were
- <em><u>f¯¹(x)=9x+18</u></em>..........swap back f¯¹(x) in the y
<h2>
For the question f(x)=-x-2,f¯¹(x)=?</h2>
- following the ☝️ arrangement
- y=-x-2
- x=-y-2
- -y-2=x
- -y=x+2
- y=-x-2
- f¯¹(x)=-x-2
Answer:
If a = b, then a - c = b - c
hope it helps
Answer:
<em>Equation of line; y = - 6x</em>
Step-by-step explanation:
As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;
At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;
If this equation is in slope - intercept form ⇒
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
<em>Equation of line; y = - 6x</em>
Sorry could not type exponents
Answer:
The speed of the boat in still water is 18 mph.
The speed of the current is 2 mph
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that
x - y = 16 (equation 1)
Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that
x + y = 20 (equation 2)
Adding both equations, it becomes
2x = 36
x = 36/2
x = 18 mph
Substituting x = 18 into equation 1, it becomes
18 - y = 16
y = 18 - 16
y = 2 mph
