I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = x, g(x) = 7x Find (f + g)(x). Find the…

A:

Q: Let h(x) = f(x)g(æ). If f(x) -3x? – 4x + 2 and g(x) = -x² + 3x +2, what is h' (-1)? Do not include…

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: 6) Find the domain of the given functions (use interval notation) and the find f(g(x)) f(x) =…

A:

Q: The domain of the function f(y) = is a. All real numbers y b. All real numbers except -2 c. All real…

A: Given the function f(y)=1y+1

Q: a function of degree 3, with the following zeros: 5 and 5 - 3i find all remaining zeroes of f(x)

A: the function of degree 3 has 3 zeros. Here, two zeros are already given, and one of them is a…

Q: Let h(x) = f(x)g(æ). If f(x) = –3x² + 2æ – 3 and g(x) = -322 + 4x + 3, what is h' (1)? %3| Do not…

A: Given function is h(x)=f(x)g(x) where f(x)=-3x2+2x-3 , g(x)=-3x2+4x+3 f(1)=-3(1)2+2(1)-3=-3+2-3=-4…

Q: Find f+ g, f-g, fg, and f/g and their domains. f(x) = 4 - x, g(x) = x² – 3x %3D Find (f+ g)(x). Find…

A:

Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = V 25 – x², g(x) = Vx + 1 Find (f + g)(x).…

A: Composite functions

Q: The graphs of fand g are given. Find a formula for the function g (2-3) g(x) X y 6H 4 2 f(x)=x2 X -6…

A: Given figure of parabola is

Q: 10. Given the function x1 find f(-125), f(0), f(64), and draw the graph of f(x).

A:

Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: The function f (x) x³-x . is: х2-1 Even Odd Not even and not odd No answer

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Let h(x) = f(g(x)). If f(-4) = –3, f' (-4) = –1, g(1) = -4, and g'(1) = 3, find h' (1). Do not…

A:

Q: Find f+g, f- g, fg, and f/g and their domains. f(x) = x² + x₁ g(x) = x² Find (f + g)(x). Find the…

A: See this solution in below with details.

Q: The graph of g is the graph of f shifted right by 3 units, then reflected vertically across the…

A:

Q: Let H(x) = f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find…

A:

Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = V 25 – x2, g(x) = /x + 1 - Find (f + g)(x).…

A: Given data : f(x) = 25-x2g(x)=x+1 The Domain of function f(x) is 25-x2=0=[-5,5] Also, the Domain of…

Q: The function f(x) is symmetric with respect to the origin (odd function). If f(2)=-3, then f(-2)=

A: Given,          The function fx is symmetric with respect to the origin odd function.…

Q: The function g(x) is defined as shown. What is the value of g(3)? X-1, -2sx <-1 O 2 O 3 g(x) ={…

A: Given  G(x)= 6-x  for x = 3  We will put value of x as 3

Q: f(x)= { x^2-1, x less than or equal to 32ax-4, x&gt;3Find values of a for f (x) to be a…

A: Since function f(x) is continuous.Therefore it is continuous at every point and also at x=3

Q: 4. h(x) = x - 5 Determine for each x-value whether it is in the domain of h or not. In domain Not in…

A: Domain of a function is the set of all possible inputs for the function where the function is…

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is positive.

A: solve the following

Q: The graph of f (x) = x² is transformed to create the graph of g (x) = -. Which of the following…

A: Given,          The graph of fx=x2 is transformed to create the graph of gx=-15x2.

Q: A. Find the domain and range of А. f, g,f + g, and f • g following: of the 1. f(x) 3 х; g(x) = Vx –…

A: Domain = the set of values of x for which the function is defined. Range = the set of output values…

Q: The formula for a function y = f(x) is f(x) = 4x“, x <0. Find a formula for f'(x) and identify the…

A: Given that: f(x)=4x2, x≤0

Q: Find  f + g,   f − g,   fg,  and  f/g  and their domains. f(x) =    25 − x2 ,    g(x) =…

A:

Q: find f -1(a) for thefunction f and real number a. f(x)=x^{3}+2 x-1 \quad a=2

A: Given, f(x)=x3+2x−1,a=2⇒f−1f(x)=f−1x3+2x−1⇒x=f−1x3+2x−1⇒x=f−1a…

Q: gives a formula for a function y = ƒ(x) and shows the graphs of ƒ and f -1. Find a formula for f -1…

A: The given function y - y = f(x) = x2-2x+1y = x2-2x+1Procedure to find the f-1(x) - 1. Solve for x in…

Q: Apply five decima1 place rounding in all calculations. The questions that follow are based on the…

A:

Q: a. Graph the functions ƒ(x) = 3/(x - 1) and g(x) = 2/(x + 1) together to identify the values of x…

A: Graph the functions ƒ(x) = 3/(x - 1) and g(x) = 2/(x + 1) together.

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: Determine algebraically whether the following functions are odd, even, or neither.

A: This question is related to functions, We will solve it using given information.

Q: a. Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A: To identify the values of x for which x2&gt;1+4x. (a) Sketch the graph of the function f(x)=x2 and…

Q: If g(x) is an odd function defined for all values of x, can anything be said about g(0)? Give…

A: It is given that g(x) is the odd function defined for all values of x when g (–x) = –g(x).Now,

Q: a. Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A:

Q: Given g(x)=√x-3, on what interval is the function positive? OL -∞ 3)

A: Given

Q: The graph of f and g are given. Find a formula for the function g.

A: Given graph of function f and g are: To find the formula for function g. Solution: We have fx=x2.…

Q: a. Graph the functions f(x) = 3/(x - 1) and g(r) = 2/r + 1) together to identify the values of x for…

A: Explanation: Given that,                          b.   Firstly wed will solve this inequality…

Q: 1. The power function y= ax is shown graphed below. Which of the following must be true about the…

A: Graph.

Q: 12pi 12p -3 Find a formula for the graph of the function f(x) given in the figure above. f (x) =

A: Clearly the graph is of the function sin x with different magnitude and angle. Sine has maximum…

Q: A function g is given by g(x) = x2 – 3. Find g(-1) , g(0), g(a + h) , and g(x+h)-g(x)/h

A: Consider the given function. Find the value of the function for x = -1, 0.

Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

A:

Q: (g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

A: The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Q: Find a formula for the function g(x) whose graph is obtained from f(x)= |x| by horizontally…

A: Given fx=x1 fxis horizontally stretched by a factor 3.    ∴ f'x=f13x=x32 Reflection across x-axis…

Q: 2. The graph of the function f is shown in the figure above. For which of the following values is…

A: We have the graph of the  function f(x) and need to determine the point where f'(x) (derivative of…

Q: [1] A function f has the set of real numbers as its domain, and it satisfies the equation…

A:

Q: f(x)=(x-7)/((x+11)(x-2))   On what interval(s) of x is f(x) positive? On what interval(s) of x is…

A: Given,  f(x)=(x-7)/((x+11)(x-2))   x&lt;-11 x=-11 -11&lt;x&lt;2 x=2 2&lt;x&lt;7 x=7 x&gt;7…

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = x, g(x) = 2x Find (f + g)(x). Find the domain…

A:

Q: x2+ kx – 24 Consider the function G(x) : to answer the following. x²– x – 12 B. Find all values for…

A: Consider the given function: Gx=x2+kx−24x2−x−12 Consider the values of k accordingly which the…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: