Answer:
A and B
Step-by-step explanation:
A and B are the correct options
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
Answer:
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Step-by-step explanation:
Let's find the solutions for the quadratic equation:
x² = 9x + 6
x² - 9x -6 = 0
Using the quadratic formula, we have:
x = [- (-9) +/- √ (-9)² - 4 * 1 * -6]/2 * 1
x = [ 9 +/- √ (81 + 24]/2
x = [ 9 +/- √ (105]/2
x₁ = [ 9 + √ (105]/2
x₂ = [ 9 - √ (105]/2
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Note: Same answer than question 14133688, answered by me today.
Answer: 14
Step-by-step explanation:
12^2+8^2=208 square root is 14
It’s a bit blurry retake the picture
