Since the logarithmic function is the inverse of the exponential function, the domain of the logarithmic function is the range of the exponential function and that works the same both ways.
Answer:
x + 10 = x
Has no solution because when you simplify it, you get
10 = 0 which is a false statement
2x + 4 = 2x
Has no solution
Because if reduces to 4 = 0
The equation y = –2 x + 3 represents the graphed function.
Answer: Option A
<u>Step-by-step explanation:</u>
As per the mapping points in the attached figure, A (0, 3) and B (1, 1)
Step 1: Find the slope of the line.
We know that the formula to calculate the slope between two points is equal to

. So, the slope ‘m’ would be

Step 2: Find the y-intercept
We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)
Step 3: Find the equation of the line into slope-intercept form
We know that the equation of the line into slope-intercept form is equal to
y = m x + b
We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get
y = - 2 x + 3