Given the function defined by f(x) = 3x - x2, evaluate and simply each of the following: f(-3)

Q: For the function f(x)=1/3 x - 2, find the value of x for which f(x)=x

A: We will find the value of x for which f(x)=x in the following step.

Q: Given the functions f(x) = 2x* and g(x) = 3 · 3ª, which of the following statements is true?

A: Given,        The functions are fx=2x4 and gx=3·3x.

Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

A:

Q: Find f(5) and f(x^2 + 3) for the function f(x) = -x + 2

A:

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: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the given function.

A:

Q: Given the function f(x)=x² + 1, determine the value of f(f(3))

A:

Q: For the given functions, find (fo g)(x) and (go fXx) and the domain of each. 1-X g(x) f(x) = 13x 1+…

A: Find f∘gx as follows: f∘gx=fgx              =f11+13x              =1-11+13x13×11+13x…

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: f(1)= f(-1)=

A: Here in the question the function g(x) is given , and asked to find f(1) and f(-1). So here I hope…

Q: Given the function f(x) = x³3 – x, determine (f of) (x). %3D -

A: We are given a function: f(x) = x3 - x We need to find out (f∘f)(x)  that is composition of…

Q: Evaluate the function at the given expression. f(x)=x2−3x f(x−1)=

A:

Q: Given the following function, find  f(3).   f(x) = x-3/2x-1 f(3) =

A:

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: For the functions f(x)=x+2,  g(x)=2x2-3x-2, find (g o f)(x)

A: Consider the given functions.

Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the function. (g ∘ f)−1

A: Given functions are: fx=x+4 and, gx=2x-5 We have to find the function g∘f-1. First of all we need to…

Q: Given the function f(x) = -x² + x, determine (f o f) (x).

A: Consider the function  f(x)=-x2+x

Q: The function f is defined as f (x) = 2. -4x+5x Find f(x+3).

A: given: fx=8-4x2+5x we know that for fx+3 we put x+3 in place of x in fx

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

A:

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

A:

Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the given function.

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

A:

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

A:

Q: Evaluate the piecewise function at the given value of the independent variable f(x) = 3x + 4 -4x+3…

A: NOTE: Refresh your page if you can't see any equations. . the given piecewise function is

Q: For the function ​f(x)=x2−9​, find ​(​a) ​ f(x+​h), ​(​b) ​ f(x+​h)−​f(x), and ​(​c) f(x+h)−f(x)…

A:

Q: For the function f(x) = , find f-'(x). 9

A: Given,          The function is fx=x79.

Q: Evaluate the function at the given expression. f(x)=x2−3x f(x−1)

A: Given that fx=x2-3xTo find :fx-1Solution :Replace  x to x-1fx-1=x-12-3x-1

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Suppose that for some function f that f(x+2) = 7x Find the equation for f(x)

A: *given:- f(x+2) = 7x                ........................(1)   *to find:- f(x) = ?

Q: Evaluate the piecewise function at the given value of the independent variable. -3x - 1 if x <0 ;…

A: Topic: Functions

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: For the function f (x)=3x+2, find x such that f(x) =14.

A: Simply put given value of f(x) and solve for "x".

Q: Find the domain and range respectively for function 1+x2

A: The given function 1+x2

Q: For the functions f(x)=−x2+2x−1 and g(x)=x−1, find (f/g)(x) and (f/g)(0).

A: Consider the following functions: fx=-x2+2x-1gx=x-1 Substitute x=x-1 in fx:…

Q: For the function f(x)=|4-3x| find x values so that f(x) =12

A: Explanation of the solution is given below...

Q: If f:x x+ 1 and gf : x H+2x + 7, find the function g.

A: Given in the question -                                        f(x)  =   x+1…

Q: Find the domain of the function. f(x) = x/ ( x2 + 1 )

A: f()=xx2+1we have to the domain of f(x)

Q: Given the function defined by f(x)=13+x​, find f(−9).

A: Given: f(x)=13+x​ To find: f(−9)

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: For the functions f(x) = 3x – 1 and g(x) = 6x² + x, find (f • g)(x).

A: Given : fx = 3x-1gx = 6x2+x

Q: Given the function f(x) = 1/1+x^2, x ≥ 0, determine the value of (f^−1)′(1/2). Give your answer in…

A: f(x)=11+x2

Q: For the function f(x) 2 -x'

A:

Q: Given the function f(x) = x³, determine (f • f)(x).

A: Given  f(x)=x^3 Find : (fof)(x)

Q: Given the function f (x) = 5x + 2x², express the value of en-1e in simplest f(x+h)-f(x) form.

A: Simplification.

Q: Find f(-x) -f(x) for the given function f  f(x) = x3  + x -5

A:

Q: Given the function f(x)=x−−√3, find f′′(x).

A: Given, f(x)=x-3

Q: If f(x) = 21, find f'(3).

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: