Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f about the x-axis and if it is horizontally stretched by a factor of 7 when compared to the graph of f. g(x)=Af(Bx)+C where A= B= C=

Q: Sketch the graph of the function f(x) = ln 2x  and state its domain.

A:

Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: Draw the graph of f(x) and discuss its differentiability at x = 1.

A: Given fx=x2,     x≤1x,   x&gt;1

Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x&gt;-5

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: The graph of f(x) = is (increasing/decreasing) over its domain.

A:

Q: Sketch the graph of the function f(x) = ln x − 3 and state its domain.

A:

Q: In general, (fg)' is not equal to f' g', but let f (x) = e3x and find a function g such that (fg)' =…

A:

Q: Sketch a graph of the function f(x) = 5 − 3x and determine whether it is even,odd, or neither.…

A: Given:      f(x)=5−3x

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: Given: f(x)=9x-x3then f'(x)=9-3x2=0⇒3-x2=0⇒x2 =3⇒  x=±3

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: Sketch the graph of a function f having the given characteristics. f(-3) = f(3) = 0 f'(0) = f'(2) =…

A: we have to sketch the graph of a function f having the given characteristic:…

Q: The graph of f (x)  is shown below.  What is the apparent zeroes of the function graphed here?

A: Given:     Zeroes of Graph:         Wherever the function graphs line cuts the x-axis are called…

Q: 5. Find all points of inflection of the function g(x) = x²e¬x.

A: using double derivative

Q: 3 Sketch a graph of the function f(x) = ax(x + 3)°(x – 1) , for some positive constant a. -

A: Given, f(x)=ax(x+3)3(x-1)2 To sketch the graph of the given function f(x). The given function is not…

Q: (1+ 3x X 1

A:

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

A:

Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…

A: Obtain the average number of consecutive free throws the basketball player makes after 100 days.

Q: A degree three polynomial function F is graphed. What is f(x)?

A: Given:Graph x,y=1,-18

Q: Sketch the graph of f(x) by hand and use your sketch to find the absolute and local maximum and…

A: Graph of f(x) is as follows :

Q: Find the vertical and horizontal asymptotes of the function f (x) = x /(4 − x) .

A:

Q: Use transformations of the graph of​ f(x) =x2 to determine the graph of the given function.…

A:

Q: Let f(x)= X-4. Sketch the graph of f and f and find the rule of f-1. 2.

A: We have to sketch the graph of the function fx=12x-4 and its inverse, also find the inverse of the…

Q: Find the function f °g and its domain if f(x)= x-1 and g(x) = x+5

A: Domain of the function is the set of all its possible inputs for which function is defined

Q: Find the absolute maximum value of the function f(x) = 5(x - e

A:

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: 11) Find the point of inflection of the graph of the function. f (x) = xVx + 27

A:

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: Find all values of x for which the graph of f lies above the graph of g.f(x)=1/x, g(x)=1/x-1

A: Given: f(x)=1xg(x)=1x−1

Q: How can the graph of function fg be obtained from the graphs of functions f and g?

A: To obtain a graph of fg from the graphs of f and g, it is necessary to multiply f and g. Then, we…

Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Sketch the graph of f.

A: A function can be graphed by plotting some points on the function and then joining them with a…

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

A:

Q: Given the function f(x) = -x² +6x+2, discuss its relative maximum and minimum points, the intervals…

A:

Q: Identify a horizontal or vertical stretch or compression of the function f(x) = x %3D by observing…

A: Given gx=4x3

Q: Find the asymptotes of the function f(x)=x3 / x2+1.

A: Since the degree of numerator (3) is greater than the degree of denominator (2), therefore there is…

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: Here given function as fx=-19x3-3 Differentiate with respect to x f'x=ddx-19x3-3=-39x2=-13x2 Thus…

Q: se the functions f(x) = x+ 4 and g(x) = 2 − x^3 to find g^{-1} ∘ f^{-1}

A: Given, f(x) = x+ 4g(x)=2−x3