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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Answer:
Step-by-step explanation:
Given
Required
Find equivalent between 0 to 180;
Let 24 be represented by
So,
From Trigonometry ratios;
where
Recall that
So, we have to substitute 24 for in the above expression.
This gives
Subtract 24 from 180
Hence, the equivalent of is
Answer: 336.80 miles, North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
Direction is given by using figure i.e.
Direction is North of east
Answer:
x =17.6
The three angles are
6x = 105.6
x-3 =14.6
3x+7 = 59.8
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
6x + x-3 + 3x+7 = 180
Combine like terms
10x +4 = 180
Subtract 4 from each side
10x+4-4= 180-4
10x = 176
Divide each side by 10
10x/10 =176/10
x =17.6
The three angles are
6x = 6*17.6= 105.6
x-3 = 17.6-3 =14.6
and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8