To find \((f \circ g)(x)\), we need to substitute \(g(x)\) into \(f(x)\). ### Given functions: - \( f(x) = x^3 + 8x + 15 \) - \( g(x) = x + 5 \) ### Finding \( (f \circ g)(x) \): 1. Compute \( g(x) \): \[ g(x) = x + 5 \] 2. Substitute \( g(x) \) into \( f(x) \): \[ f(g(x)) = f(x + 5) \] 3. Now, replace \( x \) in \( f(x) \) with \( x + 5 \): \[ f(x + 5) = (x + 5)^3 + 8(x + 5) + 15 \] 4. Calculate \( (x + 5)^3 \):

It looks like you're trying to compute the composition of two functions \( f(x) \) and \( g(x) \) where: - \( f(x) = x^2 + 8x + 15 \) - \( g(x) = x + 5 \) The notation \( f(g(x)) \) refers to the function \( f \) evaluated at \( g(x) \). To compute \( f(g(x)) \): 1. First, substitute \( g(x) \) into \( f(x) \): \[ g(x) = x + 5 \] 2. Now substitute \( g(x) \) into \( f(x) \): \[ f(g(x)) = f(x + 5) = (x + 5)^2 + 8(x + 5) +

The net force on an object equals zero when the object is either at rest or moving with a constant velocity (i.e., not accelerating). Based on that principle, the situations where the net force equals zero are: 1. **A car moving at a constant velocity.** (No acceleration, thus net force is zero.) 2. **A ball at rest.** (Not moving, no net force acting.) 3. **A student walking down the hall at a constant velocity.** (No acceleration, thus net

It seems that your notation and expressions are a bit jumbled. I'll help you break them down step by step. First, let's clarify what you have: 1. **Function**: \( f(x) = x^2 + 8x + 15 \) 2. Another expression: \( 8(x) = x + 5 \) - this looks like it might be a function notation that isn’t standard. 3. You have expressions involving \( F \) and \( g \), but they need clarification. Let's start by analyzing \( f(x) \): ### Step 1: Factor \(

La dosis de ibuprofeno en pediatría puede variar según la edad y el peso del niño, así como la indicación para la cual se está administrando (por ejemplo, fiebre o dolor). A continuación, te presento una guía general, pero siempre es recomendable consultar al médico o al farmacéutico para la dosis específica: 1. **Niños de 6 meses a 2 años (peso de 5 a 12 kg)**: 5 a 10 mg/kg cada 6-8 horas, sin exceder 40 mg/kg al día. 2. **Niños

La raíz cuadrada de 512 es aproximadamente 22.627. Si deseas el valor exacto en términos de radicales, se puede simplificar de la siguiente forma: \[ \sqrt{512} = \sqrt{256 \times 2} = \sqrt{256} \times \sqrt{2} = 16\sqrt{2} \] Así que la raíz cuadrada de 512 puede expresarse como \( 16\sqrt{2} \) o aproximadamente 22.627.

La Noche Triste fue un episodio clave en la conquista de México por parte de los españoles, que ocurrió la noche del 30 de junio al 1 de julio de 1520. Los principales protagonistas de este evento fueron: 1. **Hernán Cortés**: El conquistador español que lideró la expedición que llevó a la caída del Imperio Azteca. Cortés fue quien tomó la decisión de atacar y replegarse tras la muerte del emperador Moctezuma II. 2. **Moctezuma

El supremo comandante de las fuerzas aliadas en Europa durante la Segunda Guerra Mundial fue el general Dwight D. Eisenhower. Él fue responsable de la planificación y ejecución de la invasión de Normandía (Día D) y dirigió las operaciones militares en el frente occidental contra las fuerzas del Eje. En 1952, Eisenhower se convirtió en el 34.º presidente de los Estados Unidos.

La cefalea es el término médico que se utiliza para describir el dolor de cabeza. Es una de las afecciones más comunes y puede variar en intensidad, duración y frecuencia. Existen diferentes tipos de cefaleas, que se clasifican generalmente en dos grandes categorías: 1. **Cefaleas primarias**: No son causadas por otra enfermedad. Incluyen: - **Migraña**: Se caracteriza por un dolor intenso, a menudo unilateral, que puede ir acompañado

It seems like you might be referring to a situation involving a password, like needing help with login issues or accessing a service without a password. Could you provide more details about what you're looking for? I'm here to help!

**Preparation for Field Work** One of my initial tasks was to clear an area of land for planting, assisted by a group of laborers. I quickly realized that mastering the different tools used in this phase was essential for maximizing efficiency and ensuring a successful beginning to the planting process. ### 11.2 Ridges Creation I discovered that creating ridges, with the help of laborers, was a critical step for promoting proper drainage,

**Preparation for Field Work** A preliminary task involved clearing an area of land in preparation for planting. It became clear that understanding the various tools used in this phase was essential for optimizing efficiency and ensuring a successful start to the planting process. ### 11.2 Ridges Creation The creation of ridges was identified as a crucial step in ensuring proper drainage, particularly in regions with frequent heavy rainfall.

During my training, I had the opportunity to engage in extensive hands-on fieldwork that was both enlightening and practical, providing me with invaluable real-world experience. ### 11.1 Preparation for Field Work One of my first tasks involved clearing an area of land in preparation for planting. I quickly learned that understanding the various tools used in this phase was crucial for optimizing efficiency and ensuring a successful start to the

A large part of this training focused on practical fieldwork, which really enhanced both my understanding and my skills. ### 11.1 Getting Ready for Field Work One of my first tasks involved clearing a patch of land, setting the stage for planting. I quickly learned that knowing how to use the right tools was crucial for getting the job done efficiently. ### 11.2 Creating Ridges I discovered that building ridges was a key step to ensure proper

You can phrase your statement like this: "During my industrial training at the livestock unit, a sow farrowed seven piglets. A vaccine was administered to the piglets a few days after birth, along with an iron supplement called iron dextran, which is commonly given to piglets shortly after birth to prevent anemia." Iron dextran is one of the most commonly used iron supplements for piglets a few days after they are born. You could also simply

Rephrase: "While completing my industrial training at the livestock unit, a sow gave birth to seven piglets. A vaccine was administered to the piglets a few days after their birth. Additionally, what is the name of the supplement typically provided to piglets shortly after they are born?" As for the supplement commonly given to piglets shortly after birth, it is often iron supplement (iron dextran) to prevent anemia, as well as other vitamins or

You can say: "During my industrial training at the livestock unit, a pig farrowed 7 piglets. The piglets were administered a vaccine a few days after birth." As for the supplement that is commonly given to piglets after birth, it is often iron supplement, specifically **iron dextran**, which helps prevent anemia. In some cases, piglets may also be given a multi-vitamin or glucose solution to support their health after birth. Here's the

You could say: "During my industrial training at the livestock unit, a pig gave birth to seven piglets. The piglets were administered a vaccine to ensure their health. Iron supplements are typically given to piglets around 3 to 7 days after birth to prevent anemia." Feel free to adjust the wording to fit your style!