Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
The number of stone pavers needed to go round the patio is 3.
<h3>What is the number of
stone pavers needed to go round the
patio?</h3>
The first step is to determine the perimeter of the concrete patio.
Perimeter : 12 + 12 + 14 = 38 feet
Number of stone pavers needed to go round the patio : perimeter of the patio / length of each stone paver
38 / 14 = 3
To learn more about the perimeter of a rectangle, please check: brainly.com/question/3205029
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Answer:
<h2>f(-10) = -75</h2>
Step-by-step explanation:
F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
-5 is the answer to your question because all you do is plug in -2 into your equation for x