Write each of the following functions in the form w = (1) g(z) = // (2)q(z) = 42² +2 z-2 (3) G(z) = e² + €¯* +i +i +i u(2,3) + iv(2,3):

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Find the domain and nange of the inverse of f(x) V+3

A: We have to find

Q: Find the inverse of y = x2 – 4x + 12 ; x > 2

A: To find the inverse, we need to find x from the equation.  For checking,  f(g(x))= g(f(x))= x

Q: give the transformation of the base function f(x) = x^2, that would produce the following functions:…

A: give the transformation of the base function f(x) = x^2, that would produce the following functions:

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: Evaluate the following functions at the given values, and simplify the resultant expressions: a) For…

A: As per company guidelines we are supposed to answer maximum three subparts from a question. for…

Q: . Show that exp(m1 x), exp(m2 x), and exp(m3 x) are linearly independent functions, where m1, m2,…

A: Part (A): There are three functions, now we have to find the function is linearly independent or…

Q: (a) f(x) =; 2x+1 x²+x-2 (b) g(x) x²+1 (c) h(x) = v4 – x + vx² – 1 %3D

A: The given functions are a.) fx=2x+1x2+x-2 b.) gx=x3x2+1c.) hx=4-x+x2-1 Domain of a function is the…

Q: The functions u and w are defined as follows. u (x) = -2x-1 w (x) = 2x²-2 Find the value of u (w…

A: u(w(3))=-33

Q: 1) write the linear function f for which f(1)=3 and f(4)=0

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

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: find the inverse of the function f(x) = 2x +3/x-4

A: Given query is to find the inverse of f(x).

Q: Big fish eat little fish, and little fish eat algae. So, the population b of big fish is a function…

A:

Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: Let f(x) = 2x + 3 and g(x) = 5æ² + 4x Compute and simplify the following. (f + g)(x) =

A:

Q: find the inverse of  y from the function that is in the picture below

A: Giveninformation:The given function is

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

A:

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Given the function f (x) = 1/3 x2 - 6x + 5 determine the inverse relation

A:

Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

A:

Q: find the inverse of f (x)=ax+b/cx-a

A:

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.

Q: List the transformations that are applied to f(x) = Vx to produce f(x) =-2(x+3) -4

A: Vertical transformation: Vertical translating the graph is shifting the graph up or down in the…