3. Iff and g are two lincar functions: f(x)-axtb and g(x)- cx+d, then what are the conditions on a,b.c and d so that f•g=g+f

Q: The table contains some input-output pairs for the functions f and g. x f(x) g(x) 3 10 6 4 7 10 6 3…

A:

Q: If c is a non zero constant then the function is always differentiable x2 + c2

A:

Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: 13x + 7 is x – 3 The domain of the function f(x) OR-(3}

A: The domain of a function is defined as the set of all input values for which the function is…

Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

A: We have the domain is A=0,1 and the range is B=1 First we find the relations from A=0,1 to B=1: The…

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

A:

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Let f(x) = x and g(x) = x-8. Determine the composite functionfog and its domain. %3D (fo g)(x) =…

A: given that fx=x and gx=x3-8determine the composite function fog and its domain

Q: Prove that a function of the form:is an even function.

A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

A:

Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in…

A: Solution is here

Q: The function f(x)=-(x+3)+2 opens up. O True O False

A: Let's find.

Q: Consider the following function: 4x 9x -19 1 -9x 19 -1 f(x) = 3 9. 2 13 0 0 1 a) What is the highest…

A:

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: If f (x) = x-x, show that 2.

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Let f(x) a) f(a) = g(a) = 3x + 1. and g(x) = 2x. Determine values for a such that b) f(a²) = g(2a)

A: Given: fx=3x+1 and gx=2-x. We have to determine the value for a such that a fa=ga, b fa2=g2a.

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³…

A: