Questions: Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) ≥ g(x).

Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) ≥ g(x).
Transcript text: Let $f(x)$ be the function represented by the dashed line and $g(x)$ be the function represented by the solid line. Solve the equation $f(x) \geq g(x)$.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Functions
  • The dashed line represents \( f(x) \).
  • The solid line represents \( g(x) \).
Step 2: Analyze the Graph
  • Observe where \( f(x) \) (dashed line) is greater than or equal to \( g(x) \) (solid line).
Step 3: Determine the Intersection Points
  • Find the points where the dashed line intersects the solid line. These points are where \( f(x) = g(x) \).
Step 4: Solve the Inequality
  • Identify the intervals on the x-axis where \( f(x) \) is above or equal to \( g(x) \).

Final Answer

  • The solution to \( f(x) \geq g(x) \) is the interval \( x \leq 1 \) and \( x \geq 3 \).
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
According to the video clip, "James Monroe: Major Events," one commentator noted that was "... a nest of pirates and outlaws and there are Indian tribes who live there, who are certainly not under the control of the Spanish government."
failedAnswered
Select the correct item in the passage. Which sentence best expresses the author's point of view that possessions can take over a home? excerpt from The Tyranny of Things by Elisabeth Woodbridge Morris Two fifteen-year-old girls stood eyeing one another on first acquaintance. Finally, one girl said, "Which do you like best, people or things?" The girl said, "Things." They were friends at once. I suppose we all go through a phase when we like things best, and not only like them, but want to possess them under our hand. The magpie instinct common to all children, "That's mine, I'll have that," persists in some people throughout life. We fill our rooms, our walls, our tables, our desks, with things, things, things. Many people never pass out of this phase. They never see a flower without wanting to pick it and put it in a vase; they never enjoy a book without wanting to own it, nor a picture without wanting to hang it on their walls. They keep photographs of all their friends and photograph albums of all their trips. Their houses are filled with an undigested mass of things, like terminal moraines, where a glacier dumps all the things it has picked up during its progress through the land.
failedAnswered
Solve the missing variable. (1 missing variable) Round to the nearest hundredth if needed. C = 11/2 π × 3 × 4 C = 17.2 π ≈ 54.14
failedAnswered
Battle of Fredericksburg
failedAnswered
Obtenha dF/dt pela regra da cadeia, sendo F a função composta de f, com x e y nos seguintes casos: c) f(x, y)=ln(x^2+y^2), x(t)=3t e y(t)=t-1