Answer:
x-1/4 ≤-3/4
Step-by-step explanation:
A number x
x
minus 1/4
x-1/4
is no more than (it cannot be greater than , but it can be equal to)
x-1/4 ≤
-3/4
x-1/4 ≤-3/4
Answer:
![a.) y=\frac{1}{4} x+3](https://tex.z-dn.net/?f=a.%29%20y%3D%5Cfrac%7B1%7D%7B4%7D%20x%2B3)
Step-by-step explanation:
Any two points along the line are (4,4) and (0,3),
![Gradient= \frac{4-3}{4-0}=\frac{1}{4}](https://tex.z-dn.net/?f=Gradient%3D%20%5Cfrac%7B4-3%7D%7B4-0%7D%3D%5Cfrac%7B1%7D%7B4%7D)
we know the y intercept is 3
Therefore equation of the line is : ![y=\frac{1}{4} x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20x%2B3)
Remember that if f and g are inverses of one another, then
f(g(x)) = g(f(x)) = x
1/2. Take a = 0 and b = 1 (or any non-zero number) so that
f(x) = x + 0/1 ⇒ f(x) = x
If g is to be an inverse of f, we need
g(f(x)) = g(x) = x
so that c = 1 and d = 0.
3. With f(x) = x + a/b and g(x) = cx - d, we have
g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d
and of course, with a,b,c,d as before, we get g(f(x)) = x.
4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...