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

Their point of intersection will always be on the line y = x.

Step-by-step explanation:

We have a function f(x) and its inverse is the function f⁻¹(x).

The domain and range of a function replaces each other for the inverse of that function.

So if f(x) and f⁻¹(x) are inverse of each other

and f(a) = b

then a = f⁻¹(b)

Another example to make it clear is that

f(5) = 25

f⁻¹(25) = 5

The function and its inverse will intersect each other at the point where f(x) = f⁻¹(x) which is only possible when a = b.

Hence, a function and its inverse will always intersect at a point on the line x=y.

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).