Answer:
f¯¹(x) = 23/ (6x + 3)
Step-by-step explanation:
f(x) = (23 – 3x)/6x
The inverse, f¯¹, for the above function can be obtained as follow:
f(x) = (23 – 3x)/6x
Let y be equal to f(x)
Therefore, f(x) = (23 – 3x)/6x will be written as:
y = (23 – 3x)/6x
Next, interchange x and y.
This is illustrated below:
y = (23 – 3x)/6x
x = (23 – 3y)/6y
Next, make y the subject of the above expression. This is illustrated below:
x = (23 – 3y)/6y
Cross multiply
6xy = 23 – 3y
Collect like terms
6xy + 3y = 23
Factorise
y(6x + 3) = 23
Divide both side by (6x + 3)
y = 23/ (6x + 3)
Finally, replace y with f¯¹(x)
y = 23/ (6x + 3)
f¯¹(x) = 23/ (6x + 3)
Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is
f¯¹(x) = 23/ (6x + 3)
Answer:
626%
Step-by-step explanation:
.20x626 = 125.2
125.2÷100=$1.25
Answer:
The final equation is
Step-by-step explanation:
The slope of the line CB where, C(0,3) and B(12,-6) will be
Now, if the line perpendicular to the line CB has slope N, then M × N = - 1
⇒ {Since }
Now, equation of the straight lines which are perpendicular to CB will be in slope-intercept form
{Where, c is the y-intercept}
If this straight line passes through the point (7,4), then
⇒ 12 = 28 + 3c
⇒ 3c = - 16
⇒
Therefore, the final equation is (Answer)
The answer is ABC plus 124