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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Well, 18 yards is 54 feet.
Answer:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16
Answer:
The answer to your question is 236 ft²
Step-by-step explanation:
Data
height = 5 ft
width = 6 ft
length = 8 ft
Area = ?
Process
I will consider that the crate is a rectangular prism which has 6 sides
1.- Find the area of the sides that measure 8 x 6
Area = 2 (8 x 6)
= 2(48)
= 96 ft²
2.- Find the area of the sides that measure 8 x 5
Area = 2(8 x 5)
Area = 2(40)
Area = 80 ft²
3.- Find the area of the sides that measure 6 x 5
Area = 2( 6 x 5)
Area = 2(30)
Area = 60
4.- Find the total area
Area = 96 + 80 + 60
Area = 236 ft²
5.- Conclusion
She needs 236 ft² of paint
Answer:
A. 120 in.
Step-by-step explanation:
Just multiply the two numbers.
