The inverse of the given function is expressed as y = ±√x + 38
<h3>Inverse of an equation</h3>
Given the equation below expressed as:
y = x² - 36
Replace y with x
x = y² - 38
Add 38 to both sides of the equation
x + 38 = y² - 38 + 38
y² = x + 38
Take the square root of both sides
√y² = ±√x + 38
y = ±√x + 38
Hence the inverse of the given function is expressed as y = ±√x + 38
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Since the painting is hung in center of a rectangular wall ,the distance between them on either side will be the same.so we can divide the length of the painting and wall by 2.we will get 2.4/2=1.2 feet and 20/2=10 feet .10-1.2=8.8 feet gives the distance between the right edge of the painting and right edge of the wall
So we need to solve:
3ˣ⁻¹ = 9ˣ⁺²
To do this, we need to have the same base for both sides of the equation.
So let's go with the base of 3.
3² = 9
3ˣ⁻¹ = (3²)ˣ⁺²
3ˣ⁻¹ = 3²ˣ⁺⁴
Since the bases are the same now, we need to get rid of them and we would get:
x - 1 = 2x + 4
Subtract both sides by 2x:
-x - 1 = 4
Add 1 to both sides:
-x = 5
Divide both sides by -1:
x = -5
The answer is 233
we solve the bracket first then multiplay then add
