Find 40, 41, and 42 in rewriting the function of ƒ(x)= {√x 00 f(x)= ΣΑLx(x). k=-x x20 x < 0 in terms of Lagure polynomial,

Q: Suppose f(x) =1 - 3x and g(x)= √x+5. a.) Show that f(-1)= g(11). b.) Find x such that f(x)= g(4)

A: (a) To show: That f-1=g11. Given: The functions are fx=1-3x and gx=x+5. Calculation: Substitute x=-1…

Q: Find the domain of the function, f(x) = √[2x/(x + 1) - 1]

A: f(x) = √[2x/(x + 1) - 1] we know that the value under the root is always positive. [2x/(x + 1) - 1]…

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

A:

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

A:

Q: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

A:

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.

Q: Show that the function g(x) = x³ – 7x² + 25x + 8 has exactly one real root- |

A: Given: gx=x3-7x2+25x+8 To show function gx has exactly one real root.

Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: Write the function ziv2 as a + ib (for a and b real-valued functions) and evaluate at z = (1 +…

A:

Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives