Given the function f(x) 6r- 1, calculate the following values: f(0) f(2) = f(- 2) = f(x + 1) = f(2 + 2) = Note: In your answer, you may use abs(g(x)) for g(x).

Q: Given the function f, defined by f(x) = 3x2+2x-4, find f(x+a)

A: Given f(x)=3x^2+2x-4

Q: Find the difference quotient of f(x) = - 2x2 + x + 1; that is, find                          [ f(x +…

A: f(x)=-2x2+x+1

Q: If f(x) =Vx- 4x + 19, then what is f(1)?

A: We first find f'(x) using the power rule and chain rule.

Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Please show step-by-step solution

A: To find f(x+3) we replace x by x+3 in f(x)  To find f(x-1) we replace x by x-1 in f(x)

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: f(x) = (1 – x²) |

A: Given query is to draw the function.

Q: Given the function f(x)=0.2(x−2)(x+1)(x−5), determine the end behavior of the function

A: Given the function,

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

A:

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

A:

Q: Find the function f(x) such that f'(x)=3e-2x-6x2+1 and f(0)=2

A:

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: The range of a function f(x) = 9x – 15 is {-42,39}. Wh %3D

A: Actually from my point of view you want to know the domain of f(x)  because in this question range…

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

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: If f(x) = x-5 and g(x) = 3x2-1, what is (f° g)(x) ? %3D

A: The given functions are:fx=x-5 and gx=3x2-1To find f∘gx

Q: Given that f(x) = 5x – 5 and g(x) = 4 – x², calculate (a) f(g(0))= - - (b) g(f(0))=

A:

Q: how can I Write the function in the form  f(x) = (x − k)q(x) + r  for the given value of k. f(x) =…

A:

Q: Given that g(x) = 3x-1/x+2, determine g-1(x)

A:

Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

A:

Q: If f(x)=x²+3 and g(x)=x+2, what is (f-g)(x)? .2

A: From the given data

Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

A:

Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

A:

Q: Given the funci f(x + 1) = f(x) + f( – 3) = %3D - ||

A:

Q: Given that f(x) = 4x + 3 and g(x) = 3 - , calculate (a) /(g(0))· (b) g(f(0)) =

A:

Q: The domain of f(x) = v2x + 1 is

A: According to the question, we have to find the domain of the above algebraic function fx=2x+1. The…

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

A:

Q: Find f '(x) given that f(x) = (2r³ + 3x²-5)(5x² - 2r+1) Show your work

A: We will use the product rule of differentiation to find the derivative

Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

A:

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Given the function f(x)= x² + 2x+1, find f(-2).

A: Put x= -2 in f(x)

Q: Given the function f (x) = -3x + 2, what is f (2)?

A: Given:  The function f (x) = -3x + 2

Q: For the function: f(x) - 3z² +3, f(2) – f(a)

A:

Q: find the range of f(x)=x−4/x2−16

A:

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

A:

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: The functions f and g are defined by f(x)=x^2 and g(x)=2x, respectively. Which equation is…

A:

Q: The function f given by f(x)=x' +12x – 24 is

A:

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

A:

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: If  f(x)=3x-1f  and  g(x)=x^2+2 then what is (f∘g)(4)?

A: (fog)(4) = 53

Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

A:

Q: If f(x)=2x+1 and g(x)=x^2+5, what is g(f(2))?

A:

Q: Given f(x) = x³ – 2, what is f(2)? |

A:

Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

A:

Q: the domain of the function f(x) = 3x - 2 is D= {x|x ≥ 1}. what is its range?

A: The given function is, fx=3x-2 The domain of the given function is given as, xx≥1

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.