13. From an experiment, we get the following values of a function O(x). 1 2 -4 f(x) 3 -5 4 Represent the function o(x) approsimately by a polynomial of degree 2, using Lagrange's interpolation formula,

Q: Use Lagrange Interpolation Polynomials to approximate the function value at x=2 for the following…

A: The Lagrange formula is given as

Q: As r -00, f(x) 00 and as r oo, f (x) -oo. Which of the following functions could be f(x)? Oy= 2a +…

A: Here use the limits to find the required functions.

Q: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

A:

Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: Write the given function as the composition of two functions. y = -√√14+4) 4x Choose the correct…

A:

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: =f"(x) = 2x−3+ 36x-4 + 12x-5

A:

Q: Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function.

A:

Q: If f(x) = x + 7 & g(x) = 2x - 3, what is f - g (x) ? * O a. -x + 4 O b. x - 4 О с. 10- х O d. 10 +…

A:

Q: Evaluate the given function at the indicated points. (Write your answers in the form a + ib.)…

A:

Q: 6. Function is given below. Find the inverse of the function. A. (x)=√x-4+4 B. S'(x)=(√x+4-4) C.…

A:

Q: 1 If f(x)=4x+4, show that f (x) = x-4 OA. The inverse is f 1 (x) = 4 Select the correct choice below…

A: Step 1:To show that f−1(x)=4x−4​ is the inverse function of f(x)=4x+4, we need to verify that…

Q: 10+5R 1. Let f(x) = /2x³ – (R + 1) and k(n) = a. Show that (fof-)(x) = x .Answer the followings: b.…

A: In mathematics, an injective function is a function f that maps distinct elements to distinct…

Q: f(x) = 2x² - 4x + 7.

A: Fundamental Principal of Derivate for f(x) is limh→0f(x+h)-f(x)h

Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

A:

Q: Which of the following functions will involve a factor of t" the t-axis?

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where…

A: Given transformation is gx=f-x Compare this with gx=AfBx+H+K So, we get the values A=1B=-1H=0K=0

Q: What is (-4) for the given function? [math][/math] x2 – 16 - if x + -4 f(x) : x+ 4 х — 4, if x = -4

A: The function is given by fx = x2-16x+4if x≠-4x-4if x=-4 To evaluate: The value of f-4 for the given…

Q: f (x) || 2x+5 5x-1

A:

Q: (3.5pts) Given the function f(x)=-14x+12+2x³ a. Degree b. Leading term c. Leading Coefficient d.…

A:

Q: Inspect the graph of the function to determine whether it is concave up, concave down or neither, on…

A: If 2nd derivative of any function is greater than 0 in any interval then function is concave up in…

Q: For the real-valued functions f(x)=x²-1 and g(x)=√√x-2, find the composition fog and specify its…

A: Solution:Given: we have to find the composition and specify the domain using interval notation

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

A: