How To Find Inverses:
1. First, replace f(x) with y . ...
2. Replace every x with a y and replace every y with an x .
3. Solve the equation from Step 2 for y . ...
4. Replace y with f−1(x) f − 1 ( x ) . ...
5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
A is the correct answer. ☺️
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees