Keep in mind that an inverse function is simply the reversal of the x and y coordinates of the parent function. For every (x,y) of the parent function, the inverse function has a point (y,x). With the conceptual part out of the way, finding the inverse function is relatively straight forward. If:
y=5x then the inverse function will be what you have when you solve for x and then reverse the variable labels...ie.
y=5x so
x=y/5 now reverse the variable labels...
y=x/5 this is the inverse function of y=5x or as your problem notation stated:
f^-1(x)=x/5
Answer:
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Step-by-step explanation:
Given:
The equation of a circle is:
To find:
Center and the circumference of the circle.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius.
We have,
...(ii)
On comparing (i) and (ii), we get
So, the center of the circle is (3,0) and the radius of the circle is 
.
Now, the circumference of the circle is:
Therefore, the circumference of the circle is about 35.5 units.
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
