Answer:
-4 is the correct answer to this problem
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...
2x + 3y = 36
2x + 3*6 = 36
2x + 18 = 36
-18 -18
___________
2x = 18
/2 /2
___________
x = 9
Every consecutive even integer will be two more than the previous integer.
(x)+(x+2)+(x+4)= -312
3x+6 = -312
3x = -318
x = -106
Find the value of the three integers.
(x) = -106
(x+2) = -104
(x+4) = -102
The three consecutive even integers:
-106, -104, -102
Remember you can do antyhing to an equation as lnog asyou do it to both sides
divide both sides by 3
2x+4=-2
minus 4 both sides
2x=-6
divide by 2
x=-3