e, find f(x) and identify the domain and range of f

Q: If f(x) = +x³, what is f'(x)?

A: Given,         fx=1x+x3

Q: Given that f(x)=35x, determine f'"(x)

A: Apply the expotential function rule for an arbitrary base. [a^x]'=ln(a).a^x.(x)'

Q: If f( x) = x² , what is f'(x)?

A:

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

A:

Q: Find the domain of f(x) = Vx

A:

Q: -f(x)=Vx

A: Let's find.

Q: Given the function f(x) =

A:

Q: Find the domain of f/g​, where ​f(x)=x+17 and ​g(x)=x^2.

A: The given functions are fx=x+17,gx=x2. Divide the function fx=x+17 by gx=x2 to obtain the function…

Q: The domain of f is the ________ of f −1, and the ________ of f −1 is the range of f

A: Given:

Q: Consider the function. f(x) = x +

A:

Q: Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

A: the range of a function is defined for y for which  y=f-1(x) Here f(x)=(x+1)/(2x-3) y=f-1(x) =>…

Q: Given f(x) = + 5, find the domain and range of f-'(x). %3D X – 3

A:

Q: Find the domain of f(x) = +!.

A: we have to find the domain of the given function

Q: Find the domain and range of the function f(x)=: 1+x

A: Here I am attaching image so that you understand each and every step.

Q: If f(x) = /x – 1, which shows fx)?

A:

Q: find the domain and range of the function.f (x) = −x

A: Given: fx=-x To Find: The domain and range of the given function

Q: What is the range for f(x)=|x+3|

A:

Q: Find Domain and Range f(x) = x^x

A: Find Domain and range of function xx

Q: The function f (x) is in the interval

A: As per the given graph we see that there is no break or discontinuity in the graph of the function…

Q: If f(x) = Vx +1 , g(x) = Vx – 1, find the domain of f +g. %3D

A: Domain is set where function is defined

Q: Find  f' in terms of g' .

A: we have to find f in terms of 'g'. f(x)=ln|g(x)|

Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

A:

Q: If f (x) = x + a ,Find expressions for f ®(x) x-a

A:

Q: Use a graphing calculator to find f'(x) when x has the given value. f(x) = x^; x= 2

A: Given,           fx=xx3 ; x=2

Q: The notation f(x) describes the value of______ at________.

A:

Q: Find the domain and range of the function.

A: To find the domain and range of the given function.

Q: What is the domain of f(x) ? What is its Range  f(x)=3/x

A: We calculate the domain and range through graph.

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Find  f' in terms of g' .

A: f(x)=g(ex)chain rulef(g(x))'= f'(g(x))* g'(x)

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

A: The given function 1+x2

Q: What is the range and domain of f(x) = csc x  ?

A: csc x= 1/sin x, so when sin x=0 then csc x does not exist. Sin x=0 at x=0, +/- pi, +/- 2pi, ....So…

Q: Find the domain and range of the function. f (x) = |x|

A: To find the domain and range of the given function.

Q: Find f' in terms of g' if (i) f(x) = g(x + g(a)). %3D

A: We will use the formula f(g(x))' = f'(g(x))g'(x)

Q: Find and sketch the domain of f(x, y) = 9-x²-y² /y²-1 What is the range of f ?

A: Find the attachment

Q: Given the function f (x) = (e')(In x)(x), find f'(x) and simplify.

A: We have to find

Q: (b) If f(x) = anx", specify the domain of f. %3D

A:

Q: Find the value of f(g(x)) if f(x) = 4x and g(x) = x2 + 1

A: If f and g be two function defined on the set of real number and the image set of g is a subset of…

Q: Determine the value of a, when f(x) = e“ + xand f'(0) = 3.

A:

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: Find the composition. 1) If f(x) = x2 + 3x and g(x) = x + 4, find (f g)(3).

A: Given: If f(x)=x2+3x and g(x)=x+4

Q: The function f(x)%= has a point of inflection when a = 0.

A:

Q: If f( x ) = what is f'(x) ?

A:

Q: Find f'(x) for the given f(x).

A: Our aim is to differentiate the following function f(x) given below:-

Q: What is f(g(x))

A:

Q: The notation f(x) describes the value of at

A: The notation f(x) describes the value of_________ at _______.

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

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

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: find f' in terms of g'

A: Given equationv-f(x)2=eg(x)                        ...................(1)Differentiating on both…

Q: Use the Quotient Rule to find g′(1) given that g(x)

A: Given: gx=x2x+1 We know that ddxuv=vdudx-udvdxv2…

Q: Find the domain and range of the function f(x, y) = √(4 − x2 − y2).

A: Consider the provided  function, fx,y=4-x2-y2 Find the domain and range of the function. We can…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.