Suppose that the functions g and h are defined for all real numbers x as follc g(x) =x+4 h(x)=2x Write the expressions for (g-h)(x) and (g+h) (x) and evaluate (g-h)(2). (8-h)(x) = | %3D (8+h)(x) = [] %3D (8 - 4) (2) = [] %3D

Q: Suppose that the function g is defined, for all real numbers, as follows. g(x) = 3 (x+1)²-1 if-2<x<2…

A: The function is  g(x)=14x-2if x≤-2(x+1)22-1if -2&lt;x&lt;23if x≥2

Q: If g(x) = x2 + 3x - 1, find g(1), g(-1), g(3), and g(-4).

A: The given function is, gx=x2+3x-1. The objective is to find the values of gx at the points x=1, -1,…

Q: Find The value of K, to Continue The function X-2 f(x)= 4-JI4+X メ+23 - %3D メ=2

A:

Q: Given that f(x)=x^2+2x-8f(x)=x2+2x−8 and g(x)=x+4g(x)=x+4, find (f-g)(x)(f−g)(x) and express the…

A: Given ,fx=x2+2x-8gx=x+4

Q: 15. Determine the zeros for and the end behavior of f(x) = x(x – 4)(x +2)*.

A: Given function is  F(x) = x(x-4)(x+2)^2

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + 2x,    g(x) = 3x2 - 1

A: Given functions are fx=x2+2x,gx=3x2-1. f+g=x2+2x+3x2-1=4x2+2x-1 Domain of f + g is -∞,∞.

Q: The domain of f(x) = Vx² – 3 is {x:xs-V3 or x2 V3} True O False

A:

Q: 5Find The alue of K, to Continue The function f(x) = X-2 4- Ji4+X X #23 %3D - メ=2

A: (5) Given: f(x)=x-24-14+x:x≠2k:x=2 Suppose the function is continuous at x=2. Then,limx→2f(x)=f(2)…

Q: find all real values of x such as that f(x) =0 f(x) =3x-4/5

A: f(x) =3x-4/5 f(x)=0 =&gt;3x-4/5=0

Q: Find all the zeros of f(x)=x3−14x2+81x−164f(x)=x3−14x2+81x−164given that 5−4i5−4iis a zero

A:

Q: Given that f(x)=x^2+3x-70f(x)=x2+3x−70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the…

A: Given,

Q: 11. Find the domain of √√x-4 x² - 6x f(x)=

A:

Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

A:

Q: Graph the function with domain of all the real numbers: f(x) = 5 for x ≥ 3, and f(x) = -6 for x <…

A: Draw the line and the line on the cartesian plane.

Q: If f is a polynomial function and f(a) and f(b) have opposite signs, then there must be at least one…

A: We know that if fx is a polynomial function and fa and fb have opposite signs, then there must be at…

Q: if g(x)=3x+4 determine n such that g(-3)=g^-1(n)

A:

Q: The domain of the function f(x)= 50/6x-23 is all real numbers x except for for where x equals?

A: Given

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

A:

Q: Find a rule for g-(x) if: g(x)=3x +2 %3D g(x)=| %3D

A: For finding inverse of the function g(x) replace x by y and g(x) by x and solve for y.

Q: If f(x)=4x-10 and g(x)=6-2x, fina tne roiiowing f(-2) g(5) g(-2)+ f(3)

A: Given f(x)=4x-10 and g(x)=6-2x. We need to find f(-2) Replace x by (-2) in f(x) f(-2)=4(-2)-10…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=4x+5…

A:

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: Given that f(x)=x^2+3x-70 f(x)=x2+3x−70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the…

A: Given data:     The given expression for the first function is: f(x)=x2+3x-70. The given expression…

Q: Find the domain of g(x) = v16 – x² and h(x) = vx2 – 16. Express your answer using interva notation.

A: Domain : it is the set of all the x value for which f(x) is well defined.

Q: Find a zero of f(x)=x-x³ by finding a fixed point of x= g(x)=x³.

A: we have to find the fixed point of g(x)

Q: The graph of f(x) = -x² - 5x+6 has the point (-8, 2) on it. O True O False

A: The function is given by fx = -x2-5x+6                                .........1 The point is  x, fx…

Q: If g(x) = [ √(x - 3) if x≥3 or 3 - x if x &lt; 3] , find g(-1) and g(7).

A: Guven function with intervals --g(x) = x-3    when  x≥3                   ...................(1)g(x)…

Q: find the domains and ranges of ƒ, g, ƒ + g, and ƒ # g.1. ƒ(x) = x, g(x) = 2x - 12. ƒ(x) = 2x + 1,…

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

Q: What is g (x) - h (x) if h (x) = -3x and g (x) = 2x"? Put your answer in standard form.

A: Given: g(x)=2x2h(x)=-3x The objective is to find the value of g(x)-h(x)

Q: 2- Let g(x) = x5 - 8.6x* + 38.782x3 - 17.25x² - 4.5927x + 10.5 then the value of g(0.25 x 101) =…

A: The objective is to state whether the statement is true or false. For the polynomial…

Q: (4) Let f(x) = xª + 2x³ + 6x² + x – 1. Find, with proof, the number of zeroes of f.

A:

Q: For the f(x)=−x3+3x+6f(x)=−x3+3x+6 determine the coordinates of the turning point(s) and any…

A: See the attachment

Q: Suppose the functions f and g are defined for all real​ numbers, x, as​ follows:   ​f(x)= -3x+12…

A: The given functions are: f(x)=-3x+12g(x)=2x2-18 The function fg(x) is another function obtained by…

Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

A:

Q: 1.Find the domain of (x) X-4

A:

Q: which polynominal function has zeros at -3, 0 and 4  1. ( x+3) (X^2+4) 2. (X^2-3) (x^2-4) 3.…

A: Given: The polynomial function has zeros at -3,0 and 4 1.x+3x2+42.x2-3x2-43.xx+3x-44.xx-3x+4

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

A:

Q: Given that f(x)=x^2+3x-70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the result in…

A:

Q: Find the domain of the function : g(x) = 1 /(x2 + 4) -1/(x2 - 4).

A: Given, gx=1x2+4-1x2-4

Q: Find and classify the extreme values of f(x) = 6x4 – 4x over the interval [-2, 2].

A:

Q: Find all zeros. f(x) = x^4−x^2−30 f(x) = x^4+ 2x^2−15 f(x) = 3x^3−7x^2−7x+ 3

A: Since you have sent more than 3 sub parts therefore according to our policies we are bound to answer…

Q: 7. Determine whether the funcion is even, odd, or neither: f(x) = 1+x2

A:

Q: For f(x)=2x3+4x2+3x-7, prove that there exist a number k such that f(k)=20.

A:

Q: 15. Show that (x+ 5) is a factor of f(x) =x3 -x² -21x + 45 then factor f (x) completely.

A:

Q: if 7+5i is a zero of a polynomial function of degree 5 with real coefficients, then so is

A: Given:   7+5i is a zero of a polynomial function of degree 5 withreal coefficientsWe know that  A…

Q: Suppose that f(x) = [x² + g(x)]4. Suppose further that 9(-2) = -6 , g(5) g'(-2) = 5, and g'(-6) = 4.…

A: