For the functions f(x) = 6-x2 and g(x) x2 + 4x-60, find f g, f-g, fg, and Determine the domain for each function

Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: For the function f (x) = 7x - 105, (a) find the zeroof the function, (b) find the x-intercept of the…

A: Given f(x)=7x-105

Q: Find the domain of the function : f(x) = x2 + 6x - 3

A: All quadratic equations are parabola equations. f(x) = x2 + 6x - 3 for all x ∈ R, given function…

Q: Find the domain of the function: f(x) = x2 - 7x

A: Given   The function is f(x) = x2 - 7x

Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

A: The given function, fx=x2-7x-5

Q: If f(x2-3)=2x2-3, find f(0).

A:

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: For the function f(x)=x3/3-x2 - 24x+19 Determine the turning points and the values of the function…

A: Use the concept that at turning points the derivative of the function will be 0, as the slope will…

Q: For the function f(x) = x3/3-x2- 24x + 19 (i) Determine the turning points and the values of the…

A:

Q: For the function f (x) = (-3)/(2x2 + 7x - 4) , determine the domain.

A: We know that the domain of a function f(x) is the set of all x-values where the function f(x) is…

Q: Find f if f"(x) = 12x2 + 6x - 4, f(0) = 4, and f(1) = 1.

A: The given function is: f"(x) = 12x2 + 6x - 4 To find the f, integrate the f"(x) = 12x2 + 6x - 4…

Q: Find F-7(x) for f(x)= 13 +14x

A:

Q: Find the domain of the function: f(x) = x2 + 3x - 17

A: Given function:

Q: Find f(10). f(x) = x2 -7x + 15

A:

Q: Find the difference quotient (x+h)-f(x) h 3x+7 2.2x2-1

A: Difference of quotient =f(x+h)-f(x)/h

Q: If f(x)=3x2-2x+4, Find f'(x) ALGEBRAICALLY

A: fx=3x2-2x+4ddxxn=nxn-1

Q: Find the domain of the function f(x) = /x² – 2x – 15

A: Domain:  "The set of all possible values of ' x '  for which the function 'f(x)' is defined." (.)…

Q: Find the domain of  f(x)= -x2+2x-6

A: The given function is:

Q: For f1x2 = xx - 2and g1x2 = x + 5x - 3, find f ∘ g. Then find the domain of f ∘ g.

A: Given functions - f(x) = xx-2               ............(1)g(x) = x+5x-3            ..........(2)f∘g…

Q: Find the domain of the function : f(x) = x / (x2 + 4x - 21)

A: Given: fx=xx2+4x-21 we know that if hx=pxqx then domain of hx will be all values of x except qx=0…

Q: For the function g(x) = 3x4 - 2x2 + 6 ,  find the intervals where the function is concave up and the…

A: Known fact: A function is said to be concave up on I if f''x>0 for all x in I. A function is…

Q: For the Function g(x)=1/8x-5, find g(8a-16)

A: First plug x=8a-16

Q: Find the domain of: f(x) = x2 - x + 5

A:

Q: Find the domain of the function f(x) =x/(x2 + 4x - 21)

A: fx=xx2+4x-21

Q: The range of the function f(x) = x2 - 2x + 19 is:

A: In this question we have to find the range of the function given f(x)=x2-2x+19

Q: For the function f(x)=x°-6x2+9x+8 find and select the correct answer from the following:

A:

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: How do I find the domain of the function f(x)=x4/x2+x-56?

A:

Q: Find the domain:  f(x) = x(16-2x)(30-2x)

A: Given data÷

Q: DETERMINE q(-4) GIVEN THE FUNCTION X +3 X²+7x+12

A: Please see the below picture for detailed solution.

Q: Find the real zero of the function f(x)= 5x - 30.

A: Given function                    f(x)=5x-30

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: For the function g(x)=1/2x-8 find g(4a)-g(a)

A: Given,

Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: For f(x) = 7x-1 + 5, find f -1 (x).

A:

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x-13 where :…

A:

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

A:

Q: for the function g(x) = 2x2-9x-8 find g(-3)

A:

Q: For the function z) =-3x+8 determine x when Ax) =-25,

A:

Q: Find the domain of the function. f(x) = x2 + 13x- 30

A:

Q: If f(x) = 3x2 +2x -1, find f(0), f(3), and f(-2).

A:

Q: For the function f(x) = 5x³ – 3x°, |

A:

Q: Find f”(x) for the function f(x)= -4x^2-4x-9

A:

Q: Find the domain of the function. f(x)= x2+4x-5 /  3x2-4x-5

A:

Q: Find the domain of the function. h(x) = 2x/  (x2 - 16)

A: Domain of the function is the set of all values of x for which function is defined.

Q: for the function g(x) = 6x2-x-10 find g(-2) g(-2) =

A:

Q: For the functions f(x) = square root of x - 3 and g(x) = square root if x + 2, find and determine…

A:

Q: Find f(-2) for the function f(x) = 3x2 – 2x + 7. 2 -13 B -1 1 23

A:

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10