The answer is an equation, a condition:
f(x) = f^(-1)(x), then apply f(x) again: f(f(x) ) = f(f^-1(x)) = x,
f(f(x)) =x, that means that:
The point of intersection is the point where applying f(x) twice it results in the identity. A similar argument takes you to f^(-1)(f^(-1)(x)) = x.
Furthermore, the final answer is the point where f(x)=x (which coincides with f^(-1)(x)=x). That is the value of x where the function crosses the line y=x. If there is no such point, then f(x) and f^(-1)(x) will never cross each other.
I can see the proof graphically, so I can't post it.
For a line, it always works:
f(x) = ax+b, f^(-1)(x) = (x-b)/a, ax+b = (x-b)/a --> a^2x+ab=x-b,
x = -(a+1)*b/(a^2-1) = -b/(a-1). Which is indeed where f(x)=x.
8%=0.08
42÷0.08=525
So your answer is 525
What's slope Line
pass through( 14, 4)( 21, 6 Answer :m=2/7
Answer:
RAWR XD
Step-by-step explanation:
Simplification of polynomials.
Polynomials <em>are</em> mathematical expressions made up of many terms.<em>To</em> simplify a polynomial <em>the most, you must collect all</em><em> </em>like terms <em>and rearrange them from highest to lowest power.</em>
<h3>4x² + 2x -5 + 7x² - 5x+2</h3><h3>4x² + 2x -3 + 7x² - 5x+2</h3><h3>11x² + 2x - 3 - 5x</h3><h3>11x² - 3x - 3 ====> Option "A"</h3>
