Can you solve this and show work so i can understand it you: )

Hello.

There are 2 basic steps to this particular problem:

1). Plug g(x) into f(x).

2). Simplify.

Step by step:

1).

f(x)= 2 |x+3| -1

g(x)= -4x² -9

So:

f(g(x))= 2 | (g(x)) +3 | -1 ***

f(g(x))= 2 | (-4x² -9)+3 | -1

f (g(x))= 2 | -4x² -9+3 | -1

f (g(x))= 2 | -4x² -6 | -1

*** This is to illustrate how plugging functions into functions works, and is not proper notation.

Hope this helped!

Disclaimer:

Always double check your answer with a reliable source, as mistakes can be made.

i can

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it