Answer:
We know, two angles are said to be complementary, if the sum of their measures is 90
∘
.
Let the angle be x
∘
and its complement is 90
∘
−x
∘
Then, according to the statement,
⇒x
∘
−(90
∘
−x
∘
)=12
∘
⇒x
∘
−90
∘
+x
∘
=12
∘
⇒2x
∘
=12
∘
+90
∘
=102
∘
⇒x
∘
=
2
102
∘
=51
∘
.
Hence, the measure of the angle is x=51
∘
and its complement is 90
o
−x=90
o
−51
o
=39
∘
.
For this case we must find the inverse of the following function:

We follow the steps below:
Replace f(x) with y:

We exchange the variables:

We solve for "y":

Multiply by -2 on both sides of the equation:

We raise both sides of the equation to the square to eliminate the radical:

We subtract 3 from both sides of the equation:

We change y by f ^ {- 1} (x):

Answer: