Find f(x) and g(x) so that the function can be described as y = f(g(
y = four divided by x squared. + 9
f(x) = x + 9, g(x) = four divided by x squared.
f(x) = x, g(x) = four divided by x. + 9
f(x) = one divided by x., g(x) = four divided by x. + 9
f(x) = four divided by x squared., g(x) = 9

Listed below

Step-by-step explanation:

This is a function composition excercise. The idea is to sustitute the value of G(x) in the X's value of the other function.

a) and

So we replace g(x) on the X of the f(x) function and we get:

b) We do the same on this excercise:

and " alt="f(g(x))=\frac{4}{x+9}" />" />

We replace and we get:

c) And the same on this one:

and

We replace and we get:

d) Exactly the same on this excercise:

and

We replace:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

according to egenuity the answer is

step-by-step explanation:

d. 344.22