Answer:
f(x)⁻¹ = (x - 11)²
Step-by-step explanation:
To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".
y = √x + 11 <----- Original equation
x = √y + 11 <----- Swap variables
x - 11 = √y <----- Subtract 11 from both sides
(x - 11)² = (√y)² <----- Square both sides
(x - 11)² = y <----- Simplify
Another way of writing the output of an inverse function is with f(x)⁻¹.
Answer:
11
Step-by-step explanation:
11 - 0 = 11
11 - (-2) = 14
11 is smaller than 14.
<h2><u><em>
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The perimeter of the entire rectangle is 12 cm.
The three numbers are 52, 53, 54.
52+53=105 105+54=159
Answer:
<em>C.</em>
Step-by-step explanation:
Given
Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;
Each term of a binomial expansion are always of the form:
Where n = the sum above
Compare to the above general form of binomial expansion
Substitute 6 for n
[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>
By direct comparison of
and
We have;
Further comparison gives
[Solving for a]
By direct comparison of
[Solving for b]
By direct comparison of
Substitute values for a, b, n and r in
Solve for
<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em><em />