First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:
y=2x+1 subtract 1 from both sides
y-1=2x divide both sides by 2
(y-1)/2=x now just switch the labels for the variables...
y=(x-1)/2 so
f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1
Answer:
Option B m<ZA+m<ZB = 155° is correct option.
Step-by-step explanation:
We know that sum of angles of triangle is equal to 180°
And Isosceles triangle, 2 angles are same
So, let Angle 1 = x
Angle 2 = x
Angle 3 = 130°
Finding values of angle x
x+x+130=180
2x=180-130
2x=50
x=25
So, Angle 1 = 25 °
Angle 2 = 25°
As, angle B is greater than 90°, the sum of angles added must be greater than 90°
So, Option A, C and D can't be correct, as their sum is less than 90°
Option B m<ZA+m<ZB = 155° is correct option.
Verify:
m<ZA = 25° (as found earlier)
m<ZB = 130° (given)
So, m<ZA+m<ZB = 155°
25°+130° = 155°
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, f(x) = y if and only if g(y) = x.