Answer:
Step-by-step explanation:
f(x) = x + 2.....change f(x) to y
y = x + 2....now switch x and y and solve for y
x = y + 2
x - 2 = y....change y to f-1(x)...represents an inverse
f-1(x) = x - 2 <== ur inverse
The answer would be (8/11,0) as the x-intercept
Answer:
A, B, E
Step-by-step explanation:
The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)
The right-side piece is cubic, not quadratic.
The U-shape tells you the function is decreasing on the left side.
The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)
The percentage increase China's population from 1970 to 1995 is: 56.25%.
<h3>How to Calculate Percentage Increase?</h3>
Percentage increase = (Final Value - Original Value)/Original value × 100.
Given the following:
Original value = 0.8 billion
Final Value = 1.25 billion
Final Value - Original Value = 1.25 - 0.8
Final Value - Original Value = 0.45
Percentage increase = 0.45/0.8 × 100 = 56.25%.
Learn more about percentage increase on:
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Answer:
2√2
Step-by-step explanation:
<u>By </u><u>using </u><u>trigonometry,</u>
sin 45° = x/4
x = 4sin 45°
x = 2√2
<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>
Since you know that it is an isosceles triangle and it's also a right-angled triangle,
4² = x² + x²
16 = 2x²
x² = 8
x = √8
= 2√2