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Pepsi [2]
3 years ago
9

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Mathematics
2 answers:
guapka [62]3 years ago
4 0

Answer with explanation:

The given function is:

     ⇒ y =3 x

And it's inverse function can be Calculated by, replacing , x by y, and , y by x, in the above equation

⇒x=3 y, is the equation of inverse function.

Both the original function , and inverse function passes through origin, As well as Origin is the point of Intersection, which can be shown as follows:

3 x-y=0-----(1)

x-3 y=0

3 x - 9 y =0 ------(2)

EQ.(1) - Eq.(2)

3 x - y - (3 x- 9 y)=0

-y + 9 y=0

8 y=0

y=0

Putting the value of , y in equation (2)

x=3 × 0

x=0

⇒Point of intersection of ,f(x) and it's inverse =(0,0)

 

max2010maxim [7]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

f(-1) = 3(-1)

f(-1) = -3

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