If (-3,7) is on the graph of f(x) which point must be on the graph of the inverse function
a. (3,7) b. (-3,7) c. (-7,3) d. (7,-3)

(7,-3) option D

Step-by-step explanation:

Let be f(x) a function, then the inverse of f(x) will have a domain equal to range of f(x). This means that if the point (a,b) belongs to f(x), then the point (b,a) belongs to the inverse of f(x).

In this situation you have  a function f(x) and a point that belongs to this function: (-3,7), now to the inverse function the value of x will be the value of y and the point will be (7,-3)

D. (7,-3)

Step-by-step explanation:

It was given that the point (-3,7) is on the graph of F(x).

We want to determine which point also lies on the graph of its inverse function;

Recall that, the domain of a function becomes the range of its inverse function and the range becomes the domain of the inverse function.

Therefore if (-3,7) is on the graph of f(x), then

F(-3)=7

This implies that;

, hence the point (7,-3) lies on the graph of the inverse of F(x).

The measure of angle TRV is 130° ⇒ last answer

Step-by-step explanation:

* According to the attached graph

- Line TRW intersects line SRV at point R

- The measure of angle VRT is (2x + 10)°

- The measure of angle VRW is (x - 10)°

- We need to find measure of angle TRV

- From the attached figure

∵ T , R , W lie on the same line

∴ ∠TRW is a straight angle

- The measure of the straight angle is 180°

∴ m∠TRW = 180°

∵ ∠TRW contains ∠VRT and ∠VRW

∴ m∠VRT + m∠VRW = m∠TRW

∴ m∠VRT + m∠VRW = 180°

∵ m∠VRT = (2x + 10)°

∵ m∠VRW is (x - 10)°

∴ 2x + 10 + x - 10 = 180

- Add like terms

∴ 3x = 180

- Divide both sides by 3

∴ x = 60

∵ m∠TRV = (2x + 10)°

- Substitute x by 60

∴  m∠TRV = 2(60) + 10 = 120 + 10 = 130°

∴ The measure of angle TRV is 130°