Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.
<h3>What is an
invertible function?</h3>
An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:
f⁻¹(f(6.022)) = 6.022.
From the table, we have:
f⁻¹(-10) = -6
f(-6) = -10
Therefore, f⁻¹(-10) + f(-6) is given by:
f⁻¹(-10) + f(-6) = -6 - 10
f⁻¹(-10) + f(-6) = -16.
Read more on invertible function here: brainly.com/question/15635761
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Answer:
See below for answer.
Step-by-step explanation:
m ∠3 = m∠ 7 If ║ then cor. ∠s are =
m ∠2 = m∠7 Transitive ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7
Answer:

Step-by-step explanation:
We need to simplify out the given exponential expression . The given expression to us is ,
We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,

Note that , we can write ,
Therefore our expression becomes ,
Simpify using the Law of Exponents ,
Open the brackets in exponent ,
Simplify to get final expression ,

Answer:
-3y
Step-by-step explanation:
-15(y2)4 ÷5y3y4
Rewrite the division as a fraction
<u>-15(y2)4</u>
5y3y4
Multiply y3 by y4 by adding the exponents
<u>-5(y2)4</u>
5y7
Cancel the common factor of -15 and 5
<u>-3(y2)4</u>
y7
Multiply the exponents in (y2)4
<u>-3y8</u>
y7
Cancel the common factor of y8 and y7
Factor y7 out of -3y8
<u>y7(-3y)</u>
y7
Multiply by 1
<u>y7(-3y)</u>
y7 × 1
Cancel the common factor which is y7 and y7
Rewrite the expression
<u>-3y</u>
1
Divide -3y by 1
-3y