Answer:
f^-1(x) = (x² + 21)/7
Step-by-step explanation:
Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:
Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:
y² = 7x – 21
Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:
y² + 21 = 7x
Step 3: Divide both sides of the equation by 7. Doing that we have:
x = (y² + 21)/7
Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:
f^-1(x) = (x² + 21)/7
Split the second term in 4x^2 + 17x - 15 into two terms
4x^2 + 20x - 3x - 15
Factor out the common terms in the first two terms, then in the last two terms.
4x(x + 5) -3(x + 5)
Factor out the common term x + 5
<u>(x + 5)(4x - 3)</u>
<span>area is side by side.
so do 6.25*6.25 and that equals 39.0625
</span>
Answer: 4
Step-by-step explanation:
Sqrt x + 3 = 25 : 5
Sqrt x = 5-3
(Sqrt x)^2 = 2^2
X = 4
-4.5
Step-by-step explanation:
the point P is at the midpoint of -4 and -5
