To find the inverse function simply replace "x" by "y", replace "y" by "x", and solve for y
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x
When dealing with roots, we want to factor to see if it's possible
now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
now simply multiply
Answer:
impossible
Step-by-step explanation:
X + X + 1 + X + 2 = 56. To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. ...
3X + 3 = 56. 3X + 3 - 3 = 56 - 3.
3X = 53. 3X/3 = 53/3.
X = 17 2/3. Since 17 2/3 is not an integer, there is no true answer to this problem.
-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
