The new function is g(x) =-1(1/-x) +2.
The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.
Convert f(x) to g(x)
where the conversion is g(x)=f(x)+2.
A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)
So, f(x)=-x-2 ; m = -1
From the above information, we get g(x) as follows.
g(x) =-1(1/-x) +2
More problems related to finding new functions for a given function are below.
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The length of pathway is 10 inches on map.
Step-by-step explanation:
Given,
Total distance = 350 miles
According to map,
1 inch = 35 miles
Let, x be the number of inches on map.
Therefore, using proportion;
Inch : mile :: inch : mile
Product of mean = Product of extreme
Dividing both sides by 35;
The length of pathway is 10 inches on map.
Keywords: Ratio, proportion
Learn more about proportions at:
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Yes they can! Just because two plots have the same IQR and range, does not mean that the rest of the data has to be the exact same. For example, the median.
Answer:
h= 62 g=118
Step-by-step explanation: