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livirose1514
08.12.2020 •
Mathematics
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Ответ:
a. y = 0
b. x = 0
c. y = x
d. y = -x
Step-by-step explanation:
a. Since it is a horizontal line, its gradient does not change so its gradient shall remain as 0. Thus, y = 0x which is basically y = 0.
b. Since it is a vertical line, it is impossible to define its gradient or y-intercept but its x-intercept would always be at 0 so x = 0.
c. Since it is a line that is gradually getting higher across the x-axis, its gradient would be 1. It's y-intercept is 0 so the equation of this line would be y = 1x + 0, which is basically y = x. (We don't write 1x, but rather just x, putting zeros behind an equation is redundant)
d. Since it is a line that is gradually getting lower across the x-axis, its gradient would be -1. It's y-intercept is also 0 so the equation of this line would be y = -1x + 0, which is basically y = -x ((We don't write -1x, but rather just -x, putting zeros behind an equation is redundant)
Ответ:
Step-by-step explanation:
In the figure attached, the question is shown (the order of the options are different).
To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:
f(x) = 5(x/4) - 3
x = 5(g(x)/4) - 3
Next, isolate g(x), as follows:
x + 3 = 5(g(x)/4)
4(x + 3) = 5g(x)
[4(x + 3)]/5 = g(x)