Mathematics: Help would be appreciated.

The places you need to plot are (1,-,,-,5) and then inside of the rectangle you are going to plot the point (2,4)...

Help would be appreciated. - id7068480, deadlydazy13

mrfishyyyy

30.01.2022

Step-by-step explanation:

1). f(x) = x² - 9

g(x) = x - 3

h(x) = f(x) ÷ g(x)

= $\frac{x^2-9}{x-3}$

= $\frac{(x+3)(x-3)}{(x-3)}$

= (x + 3)

2). f(x) = x² - 4x + 3

= x² - 3x - x + 3

= x(x - 3) - 1(x - 3)

= (x - 1)( x- 3)

g(x) = x - 3

h(x) = f(x) ÷ g(x)

= $\frac{(x-1)(x-3)}{(x-3)}$

= (x - 1)

3). f(x) = x² + 4x - 5

= x² + 5x - x - 5

= x(x + 5) - 1(x + 5)

= (x - 1)(x + 5)

g(x) = x - 1

h(x) = f(x) ÷ g(x)

= $\frac{(x-1)(x+5)}{(x-1)}$

= (x + 5)

4). f(x) = x² - 16

= (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

g(x) = (x - 4)

h(x) = f(x) ÷ g(x)

= $\frac{(x-4)(x+4)}{(x-4)}$

= (x + 4)

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