Q1 : find f(x) and g(x) so that the function can be described as y = f(g( (5 points) y = nine divided by x squared + 2 q2: confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points) f(x) = 9x + 3 and g(x) = quantity x minus three divided by nine

Answer

q1.

Given:

Rewrite this function in the way as;

then;

and

q2.

Given the function:

and

Confirm f and g are inverses by showing f(g(x)) =x and g(f(x)) =x

First show f(g(x)) =x

f(g(x)) = 9(g(x)) + 3

Substitute the function g(x) we have;

or

= x -3 + 3 = x      

f(g(x)) =x        

Similarly show that:  g(f(x)) =x

Substitute the value of function g(x) we have;

Simplify:

      hence proved!

Therefore, f and g are inverse of each other after showing  f(g(x)) =x and g(f(x)) =x

1; 35 is the ratio

step-by-step explanation:

a is the right answer