(Notice that we always have ![y\ge6[tex].)Swap [tex]x](https://tex.z-dn.net/?f=y%5Cge6%5Btex%5D.%29%3C%2Fp%3E%3Cp%3ESwap%20%5Btex%5Dx)
and 
, then solve for :
(this is the inverse)
###
This inverse is valid only for 
. Why?
Suppose we take 
. Then
This would suggest that in the original equation, we should get 
when 
. But when we check this, we end up with
which is clearly not true.
Step-by-step explanation:
When a factor appears in both the numerator and denominator, that is a hole in the function.
Therefore, the domain of h(x) is (-∞, 4) (4, ∞).
Which means the range of h(x) is (-∞, 5) (5, ∞).
Graph: desmos.com/calculator/j58gdgugxy
Answer:7
Step-by-step explanation:
Because it’s the place value of 5
Answer:
y = 12x - 37
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 12, thus
y = 12x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 36 + c ⇒ c = - 1 - 36 = - 37
y = 12x - 37 ← is the equation of the line
