Mathematics, 02.01.2022 15:30, cool185635

Please I need this ASAP I will give a lot of points if I get the right answer thank you

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answered: ruba806

Step-by-step explanation:

The function f(x) is defined as a line with a slope of -3 and a y-intercept of 4, hence following the definition of the slope-intercept form of a line,

$f(x) \ = \ -3x \ + \ 4$ .

Similarly, for g(x) as shown in the graph. First, to find the slope of the line defined by g(x),

$m_{g(x)} \ = \ \displaystyle\frac{7 \ - \ (-9)}{0 \ - \ 4} \\ \\ m_{g(x)} \ = \ -4$ .

Moreover, it is given that the line passes through the point (0, 7) which is the y-intercept of g(x). Thus,

$g(x) \ = \ -4x \ + \ 7$

It is known that all polynomial functions are defined everywhere along the real number line and since both functions, f and g, are polynomial functions of the 1st degree, represented by the general form of the function

$f(x) \ = \ mx \ + \ c,$

where is the slope of the line and is the y-intercept (the y-coordinate of the point in which the line intersects the y-axis) of the linear function with their domains following the set $\{x \ | \ x \in \mathbb{R} \}$ .

Furthermore, both functions f and g have no points of discontinuity (no points where the function is not defined). Hence, the range of functions f and g is

$\{ x \ | \ x \ \in \ \mathbb{R} \}$ .

It is shown above that when the slope of f(x) and g(x) are compared, the following inequality describes the relationship.

$m_{f(x)} \ = \ -3 \ \ m_{g(x)} \ = \ -4$

whereas the comparison of the y-intercept, , of both functions is explained by the inequality

$c_{f(x)} \ = \ 4 \ < \ c_{g(x)} \ = \ 7$

answered: Guest

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answered: Guest

Idon’t know what the answer is i wish i could

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