Question

Algebraically show that each of the given combinations are equivalent to the given functions. f(x) – g() is

Answer 1

Answer:

$f(x) - g(x) = 2x + 12$

$m(x) = f(x) - g(x)$ --- True

Step-by-step explanation:

Given

$f(x) = -3x + 5$

$g(x) = -5x - 7$

$m(x) = 2x + 12$

Solving (a): $f(x) - g(x)$

From the given parameters, we have:

$f(x) = -3x + 5$

$g(x) = -5x - 7$

So:

$f(x) - g(x)=-3x+5 + 5x + 7$

Collect like terms

$f(x) - g(x) = 2x + 12$

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

In (a), we have:

$f(x) - g(x) = 2x + 12$

And

$m(x) = 2x + 12$ --- given

By comparison:

$m(x) = f(x) - g(x)$