For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
If you want to learn more, you can read:
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Answer:
the ratio would be 6.75:4.5:3:2
Step-by-step explanation:
replace d and c with
d=2 and c=3
Then using proportion multiplication, you will find that b is 4.5
now replace all b with 4.5.
Then again using proportion multiplication, you will get a is 6.75.
Plug in a, b, c, d in the ratio and you get 6.75:4.5:3:2
The domain in a relation y(x) is the set of values for which the relation is defined (the values on x, where y is defined)
In this relation the values wich the relation is defined is: the coordinates of x where there are a point:
Domain: -1, 0, 3
The range in a relation y(x) is the set of all the values that y(x) takes (the values of y)
In this relation the values that takes y(x) are the coordinates of y where there are a point:
Range: -3, -1, 0
Not enough Information. I could say 50 and it would work. I could say 68 and it would work. Any even number thats under 80 but higher than what you think her eldest son is.
