Replace the f(x) with y and proceed to make x the subject:
y=1/3x+5
y-5=1/3x
We need to ÷1/3 on both sides, so ×3 on both sides
3(y-5)=x
3y-15=x
Now swap y with x and replace the isolated x with f(x) so the inverse function is:
Answer:
The answer is A.
Step-by-step explanation:
Well first, you have to simplify the equation: which is: y=6x-2
After that, you have to determine the domain, and most of the time, when you can determine the domain, you have to imagine the graph, and in which you can only find the range that way. In order to find the domain however, you just have to know what restricts x. Like in this problem, there are no numbers that violate the rules of math, and since this equation is a linear problem, the domain and range are both ALL REAL NUMBERS.
The purpose of the quadratic formula is to easily obtain the x-coordinate of the vertex's location. The goal is to solve the equation by isolating x on one side of the equation, just like you would any other equation.
In step 7, take the square root of both sides. Note that you must account for the negative side of the square root, so add the +/- to the right side (not necessary for the left side because you want the x to be positive when you are finished, and you still get the same answer even if you assume the left side is negative).
Next, subtract b/2a from both sides and simplify the denominator of the root to be 2a.
Finally combine the terms to have a single denominator.
Answer:
Step-by-step explanation:
(x1,y1)and (x2,y2)