For this case, we must find the inverse of the following function:
To find the inverse we follow the steps below:
We rewrite the denominator:
We exchange variables:
We solve for y:
We multiply on both sides of the equation by (y-7)
We subtract xy on both sides of the equation:
We add 1 to both sides:
We factor for y:
We divide both sides by (-5-x):
So, we have:
Answer:
Answer:
Step-by-step explanation:
Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
