Answer:
Step-by-step explanation:
Given
Required
The inverse
Replace f(n) with y
Swap positions of y and n
Make y the subject
Replace y with f'(n)
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2 answers:
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Answer:
(a)
Given: A line passes through the points (3, -2) and (6, 2)
Point slope form: An equation of line passing through two points and
is given by:
.....[1] where m is the slope of the line.
Calculate first the slope of the line:
Slope(m) =
Substitute the given points;
Substitute the value of m in [1] ;
......[1]
therefore, the equation of line in point slope form is,
(b)
to find the standard form of the equation [1]
Multiply both sides by 3 in [1] we get;
using distributive property;
3y + 6 = 4x -12
Subtract 3y to both sides we get;
3y + 6 -3y = 4x - 12 - 3y
Simplify:
6 = 4x - 3y -12
Subtract 6 from both sides we get;
0 = 4x - 3y -12-6
Simplify:
4x - 3y - 18 =0
Therefore, the standard form of the equation is; 4x - 3y - 18 =0
First we need to find the slope:
Slope formula=
Plug in your given values from the coordinate
Slope =
When we have 2 "-"'s together they turn into a + sign so we add.
Slope =
Slope =
Simplify (in this case divide) the slope:
Slope =
slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept
So far we have:
y=2x+b
To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)
so we plug that in the equation
1=6+b
Now solve for b:
1=6+b
subtract 6 from both sides
b=-5
Final answer:
y=2x-5 (D)
Slope formula=
Plug in your given values from the coordinate
Slope =
When we have 2 "-"'s together they turn into a + sign so we add.
Slope =
Slope =
Simplify (in this case divide) the slope:
Slope =
slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept
So far we have:
y=2x+b
To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)
so we plug that in the equation
1=6+b
Now solve for b:
1=6+b
subtract 6 from both sides
b=-5
Final answer:
y=2x-5 (D)