The equation of the piecewise function is 
<h3>The piecewise function</h3>
On the graph, we have:
- y = 3 for all x values not more than -1
- y = -1 for all values greater than 2
Hence, the piecewise function is:
<h3>The domain of the function</h3>
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>
This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
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Answer:
t = 13
Step-by-step explanation:
3 months ------ 4500
6 months ------ x
3/6 = 4500/x
cross multiplation:
3x =27000
x = 9000,or we should have just doubled the wages, since the time doubled
3 months ------ 4500
5 months ------ y
3/5 = 4500/y
3y = 22500
y = 7500
3 months ------- 4500
t months -------- 19500
3/t = 4500/19500 = 3/13
3t = 39
t = 13
The answer is 1.47
hope this help you
Answer:
a. 62
Step-by-step explanation:
use the Bodmas method
=3×9-5+20×2
=<u>62</u><u> </u>
Answer:
A. (-∞, ∞)
Step-by-step explanation:
f circle g (x) is another way of expressing f(g(x)). Basically, we have to plug g(x) into f(x) wherever we see x's.
f(x) = x^2 - 1
f(x) = (2x-3)^2 - 1
Now find the domain. I think the easiest way to do this is to graph it. I've attached the graph. You can also do it algebraically by thinking about it: it's a positive parabola (+x^2) and its minimum is -1, so its range will not be all real numbers, but its domain will certainly be. (The range would be answer choice B!)
Domain = (-∞, ∞)
