what is the domain of g(f (x))?

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: What is the domain of the function f(x)=x/x²-1?

A:

Q: Sketch the graph of f.

A: The function fx=ex2

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 1.

A: g(x)= 2x + 1 = f(x)+1 This means f(x) will move 1 unit up to make g(x). Graph of f(x) is:

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: What is the natural domain of the function f (x) = /5 – x?

A:

Q: Find the domain of the function.

A: Here the given function as fx=x26-x

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

A:

Q: How are the zeros of g(x) related to the standard form of the function?

A:

Q: Let f (x) = x²+1° 1) What is the domain of f ?

A: Consider the function  fx=xx2+1

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.

Q: Find the domain of the function f(x) = √(x - 3)

A:

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: If f (x) = v2x + 3 and g(x) = x – 1, what is the domain of g(x)f(x)?

A:

Q: snip

A: Concept - If there is function f(x), then for f(x) to be defined the numerator should never be…

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

A: f(x) is a rational function with the denominator x2+1.

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: What is the domain of the function f(x) = Vx + 4

A: The given function is fx=x-1x+4. It is known that square root function is defined only for non…

Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: Find the limits. f(x) = x + 9 g(x) = x²

A:

Q: mathematically

A: We will solve the problem

Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: Consider f(x) = √(x − 2) and g(x) = ∛( x − 2).Why are the domains of f and g different?

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: Let flx)=-x²-x+6 and g(x)=2x+5 , find f(g\x))

A:

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain 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: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..

Q: sketch g(x) = f(x + 3) -2. %3D

A:

Q: The domain of f(x) = Vx is

A:

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: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: What is the domain of the function f(x) = √[(x-1)/(x+4)]?

A: fx=x-1x+4

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

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

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: What is the end behavior of f(x)?

A:

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

A:

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

A:

Q: Find the domain of the function. F(x) = x-2/ x3 + x

A: To findDomain of functionf(x)=x-2x3+x

Q: What is the parent function for f(x)=(x+7)^2

A:

Q: Find the domain of the function f(x) = x2 -1 %3D

A:

Q: What is the largest domain of the function f(x) = V-x² + 5x + 6 ?

A: Domain of function: The set of all numbers for which function is well defined is said to be domain…

Q: What is the domain of f(x)= 1/x? What is its range? The Domain of f(x)= 1/x is The range of f(x)=…

A: Given function:

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 is the domain of the function f(x) = √(x2 - 16)?

A: The given function is fx=x2-16.

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.