y>/-4x+20
This is the answer :D
Answer:
Given equation is:
x/4 = 16
Multiply both side of equation by 4
4* x/4 = 16*4
x= 64
Step-by-step explanation:
This is called Multiplication property of Equality.
If you multiply equation by a number on both sides, it remain same or balance.
The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.
To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.
Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.
The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.
#SPJ3
Answer:
is
Step-by-step explanation:
Property of inverse function:
The function should be bijective function ( one-to-one and onto)
Option A) f(x)=|x-4|+1
It is absolute function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [1,∞)
False ( Inverse not possible )
Option B)
It is quadratic function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
False ( Inverse not possible )
Option C)
It is polynomial function with even degree. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
False ( Inverse not possible )
Option D)
It is linear function. one-to-one and onto
Domain: All real (-∞,∞)
Range: All real (-∞,∞)
True ( Inverse possible )
Inverse of is
Hence, The function inverse function is
Answer: Hello there!
A function only can have an inverse if the function is injective and surjective (and continuous):
Then we need to see; if f(x1) = f(x2) = y, and x1 is different from x2, then f(x) has not an inverse:
a) f(x) = Ix - 4I + 1
for example, f(0) = I-4I + 1 = 5
and f(8) = I8 -4I + 1 = 4 + 1 = 5
then f(x) does not have an inverse
b) f(x) = 25x^2 + 70x + 49
This is a cuadratic function, wich is graphed as a arc going up or down, wich means that there are two values of x that give the same value for f(x), then this function has not inverse. (this will be the case for all even powers)
c) f(x) = x^4
Again, an even power. But let's probe it:
f(1) = 1^4 = 1
f(-1) = (-1)^4 = 1
f(x) does not have an inverse:
d) f(x) = x + 3/7
Ok, here we have a linear equation, wich means that is injective and surjective.
The inverse of this function can be g(x) = x - 3/7
proof:
f(g(x)) = f( x - 3/7) = (x - 3/7) + 3/7 = x
then f and g are inverses of each other.
(if in this case f(x) = (x + 3)/7 = x/7 + 3/7 is also a linear equation, so it is injective and surjective (and continuous), wich implies that has an inverse)
the answer is 37-10=27/3=9
Answer:
7
Step-by-step explanation:
The Wilsons have triplets and another child who is 15. Since their ages all add up to 36, we can first start off with subtracting 15 from 36.
36 - 15 = 21
Now we can divide the amount we have from the rest amount of kids, since they are triplets, they are 3:
21 / 3 =
7