What would be the answer for f(0) = -3x+7?
2 answers:
Answer:
Step-by-step explanation:
Since any number multiplied by zero equals zero, our equation is really:
0 = -3x+7
First, we'd have to subtract the 7 from both sides:
-7 = -3x
Now we need to divide the negative three from both sides to isolate the x.
7/3 = x
So, our answer is x=7/3
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Answer:
- inverse is not a function
- unless the domain is restricted to |x| ≥ 1.2 (approximately)
Step-by-step explanation:
The test to see if the inverse function is also a function is called the "horizontal line test." The test passes if any horizontal line intersects the graph in only one place.
Here, a horizontal line can intersect the graph in 1, 2, or 3 places, so the test fails. The function does not have an inverse that is a function.
__
If the domain of the inverse relation is restricted to |x| > 1.2, then that inverse will map any x to only a single value of y. Then it will be a function.
_____
The graph shows the original function (dashed red line) and the inverse relation (blue). The green shading marks values of x for which there is a single value of y, so the inverse relation is a function in those regions.
(We could be more specific as to the limits on the domain of f^-1(x), but the given graph seems to have an unknown vertical scale factor.)
