Algebraically show that each of the given combinations are equivalent to the given functions. f(x) – g() is equivalent to m(x) given:
f(0)
= - 3x + 5; g(x)
- 5x – 7; m(x) = 2x + 12
f(x) – g(x) = (
=
Is f(x) – g(x) equivalent to m(x)? yes

--- True

Step-by-step explanation:

Given

Solving (a):

From the given parameters, we have:

So:

Collect like terms

Solving (b) m(x) = f(x) = g(x)?

In (a), we have:

And

--- given

By comparison:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

2500

step-by-step explanation: