Suppose that the functions h and g are defined as follows. h (x) =x+4 g(x)=(x-3)(x-4) (a) Find |(-1). h (b) Find all values that are NOT in the domain of -

Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: determine from its graph if the function is one-to one.

A:

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: If f(x) = - and g(x) = 3x + 4, find (g - f)(x).

A: Using composition of function,

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: Determine all of the relative extreme values of the function f (x) = 3x + 5x %3D

A:

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: In the function:  f(x)= (5x)/((x^2)-25  How do you find the x-values of the inflection points?…

A: Given function is,

Q: Find the intervals on which the function f(x) =x2 +5x2 -8x+1 is strictly increasing function

A:

Q: 1. If f(x) = x + 3, what is f(4)?

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

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: Determine all of the relative extreme values of the function f (x) = 1 – (x – 2)- %3D

A:

Q: Evaluate the piecewise function at the given value of the independent variable f(x) = 3x + 4 -4x+3…

A: NOTE: Refresh your page if you can't see any equations. . the given piecewise function is

Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: If f(x) = 5x' +x²+ 4, then f(-2)- --

A: Given : fx = 5x3+x2+4

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

A:

Q: Determine whether the function f(x)=5+3x if x <4…

A:

Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: Find f(-3) if f(x)=x² + 2x - 1

A: Find the f(-3)

Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

A:

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

A:

Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: function

A: We are given a function : f(x)=x2-2x+2x-3 We have to determine the domain of given function where…

Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 22x + 4 if x ≥ 2on the closed…

A:

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: Find all the possible x-values of f(x)=√x - 2

A:

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

A:

Q: What is the upper and lower limit for the function : f(x) = −12x2 − 37x − 21

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function (g ∘ f)(0) without…

A: Consider the function: fx=2x-5,  gx=4x-1,  hx=x2+x+2

Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

A:

Q: If f(x)= 3^x, show that (f(x+h)-f(x)/h)= 3^x(3^h-1/h

A: Question is solved.

Q: The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best…

A:

Q: 2-If F(x)= -x²+2x -4 and g(x)= 1/(2x+4) find g(f(-1)) ( ".

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

A:

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Q: Explain why the function has at least one zero in the given interval.          Function f(x) = x3 +…

A: Given: fx=x3+5x-3