Find the range of the function: f(x) = x + 3, for x ≠ 1
1 answer:
Answer:
All Real Numbers except for 4
Step-by-step explanation:
Objective: Specify domain and range of a function.
The equation is a linear equation. A linear equation range is all real numbers. However x cannot equal 1 so let plug in x to find where the y value CANT be.
So the range is
All Real Numbers except for 4.
You might be interested in
Answer:
Smallest angle: 41°
Second angle: 57°
Third angle: 82°
Step-by-step explanation:
Let's call the smallest angle as
<u>"while a third angle is twice the smallest"</u>: third angle is
<u>"One angle of a triangle measures 16∘ more than the smallest":</u> 2nd angle is
We know sum of 3 angles in a triangle is 180 degrees, so we can set up the equation and solve for x:
So smallest angle is 41°
The 2nd angle is 16+41=57°
third angle is 2*41=82°
In verse of B.g(x)= is:
<u>4</u><u>x</u><u>-</u><u>5</u>
Answer:
Solution given:
B.g(x)=
let
g(x)=y
y=
Interchanging role of x and y
we get:
x=
doing crisscrossed multiplication
4x=y+5
y=4x-5
<u>So</u>
<u>g-¹</u><u>(</u><u>x</u><u>)</u><u>=</u><u>4</u><u>x</u><u>-</u><u>5</u>
Answer:
- Second option: 0 = 26
Explanation:
This is the given system of equations:
A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.
To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:
<u>1. First equation times 6:</u>
<u />
<u>2. Second equation times - 1:</u>
<u />
<u>3. Add the two new equations:</u>
<u />
<u>4. Conclusion:</u>
Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.
The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.
In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.