Answer:
Step-by-step explanation:
Think of drawing a right triangle, with the hypotenuse connected to points A and B. The hypotenuse, or the distance between A and B is 2√10. 2√10 is the same thing as √40. Thus, because of Pythagorean theorem, a^2 + b^2 = 40. One combination would be a=2 and b = 6 and another would be a = 6 and b = 2. Thus, the two places point B could be are (3,7) and (7,3).
Hope it helps <3
A_n= a₁ rⁿ⁻¹
a₁ is the first term
r= common ratio
a_n=2(2)²⁰⁻¹= 1048576
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...
