Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
x f(X) g(x)2.5 2 1.25
1.5 0 -2.75
2.75 2.5 2.56
2.8 2.6 2.84
2.77 2.54 2.67
2.73 2.46 2.45 <<<<<<< Answer.
I've included a graph to show you another way that you could get closer quicker.
The red line is y = 2x - 3
The blue line is y = x^2 - 5
Answer:
39.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.
Tan = Opposite/Adjacent
This lets us write two equations in two unknowns:
tan(67°) = AD/CD . . . . . . . . . . angle at guy point
tan(39°) = AD/(CD+32) . . . . . .angle 32' farther
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Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.
CD = AD/tan(67°)
tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation
tan(39°)(AD/tan(67°) +32) = AD
32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term
32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient
AD ≈ 39.486 . . . . feet
The tower is about 39.5 feet high.
Precision is a measure of how close a value is to the
ideal value. In this case, we calculate the difference to know what is the
closest to 4 g:
4.05 – 4 = 0.05
3.98 – 4 = -0.02
4.021 – 4 = 0.021
We can see that the value of 3.98g has the lowest
difference and is therefore the closest to 4g. Hence the most precise is:
<span>3.98 g</span>
Answer: Both the expressions are exactly same . Both are representing the number of tokens she has now.
Step-by-step explanation:
Given: The total number of tokens Angelique has= 20
Since, she lost some of them, let the number of lost tokens be t.
Then, The remaining tokens she has = 20-t
Then her father triples the tokens she has.
now, the number of token she has=
....>Angelique's expression
By using distributive property,
The number of token she has=
⇒The number of token she has=
...> Dante's expressions
Hence, both are the same expressions. Both are representing the number of tokens she has now.