If a function is defined as f (x) = 2x + 3, find the value of f (4). %3D f (4) = %3D

Q: Find the domain and range of the function.

A: Domain are set of values for which the function is defined . It is observed that f(x) is a square…

Q: Find the slope of the graph of the function at the given point. f(x) = 4(9 − x)2;    (9, 0)

A: Given,  The function is f(x) = 4(9 − x)2;    (9, 0).

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as…

A:

Q: f(x) = x - 5 and g(x) +3, find f[g(-2)]

A: Given question is from composite function.

Q: Suppose that f is a linear function with slope -3.4 and that f(3) = 8. What value of x gives f(x) =…

A:

Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=27x3            ⋯⋯1 In order to find the slope of the given…

Q: From the graph of the function below, find the coordinates of all relative extrema y=x4-3x3+5x+1

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Q: If f(x) = 3x + 2, find the value of f(x + 6). Show Your Work

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: From the graph of the function below, find the coordinates of all relative extrema. y=x4-3x3+5x+1

A: Given: y = x4-3x3+5x+1 To find: From graph of the function to find all coordinates of all relative…

Q: Suppose that f is a linear function with slope 3 and that f(4) = 5. Find the equation for f. f(x) =…

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Q: If f(x) = 3* + 10x and g(x) = 2x – 4, find (f- g)(x). |

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Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: What is the value of x if f(x) = -3? %3D

A:

Q: Suppose that f is a linear function with slope -3 and that f(2) = 8. Find the equation for f. f(x) =

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Q: Find the range for the function x²+y²=4

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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: If f(x) is a linear function, f( – 1) = 2, and f(2) = 3, find an equation for f(x). %3D - f(x) = %3D

A: I have append the formula used in the solution part.

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: 4x .x , find f-1 (x). 4. Given f(x)= x+5

A: Given: The function is  f(x) = (4x-3)/(x+5).

Q: Suppose that f is a linear function with slope -3.2 and that f(3) = 4. What value of x gives f(x) =…

A:

Q: Write the function defined by y=f(x),subject to the condition of the value of f(x) is 16 times the…

A: The function defined by y=fx , subject , to the condition of thevalue of fx is 16 times the value…

Q: If f(x)=x2-1 and g(x)=x-1, find the value of (f/g)(x).

A: We can write (f/g)(x) as:

Q: A function is modeled by the equation f(x)=2x+5f(x)=2x+5.

A:

Q: For the given function f(x) = 2.2x+ 4.5, x is the number of years since 2000 and y (or f(x)) is the…

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Q: If f(x) is a linear function, f(−5)=3, and f(3)=5, find an equation for f(x)

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Q: If f(x) = x2 + 3x - 1, find:

A: Given:fx=x2+3x-1fa+h-fah

Q: If f(x)= -x² + 2x - 1, find (x +h) - f(x) h z0 Simplify your answer as much as possible

A:

Q: Find the domain and range of the function.

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

Q: If f(x) = x-4 and g(x) = √x-2; then what if equal to (f/g)(x) ?

A:

Q: Graph the function f f (x) = 3Vx – 2

A: We need to graph the function f(x)=3x-2. The above function can be observed as the following.…

Q: Find the domain and range of the function. h(x) = −√(x + 3)

A: hx=-x+3

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

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

A: If f(x) = x + 2 and g(x) = 2x - 3 We need to find f(g(x)).

Q: Determine where the given function is concave up and where it is concave down  F(x)=10x3-3x5

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Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

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: Solve for X if F=G/2x

A:

Q: Find the inflection points of the function f(x)=x+x5/3.

A: Inflection points are the points where the second derivative is zero. So differentiating with…

Q: If f(x) is a linear function, f( – 5) = 4, and f(3) = – 2, find an equation for f(x). -

A: Given that ; f(x) is a linear function. When we draw a line then equation of line has two variables…

Q: Find the slope of the graph of the function at the given point.                        f(x) = √(3x2…

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Q: Find the point(s) of inflection of the function:  f(x) = 3x5-10x4+7

A: Answer and explanation is given below..

Q: If f(x) is a linear function, f(-2)=-1, and f(3)=3, find an equation for f(x) f(x)=

A: since f(x) is a linear function it must in the form f(x) = ax + b Find the value of a and b to find…

Q: if f(x)=x^x then find f`(3)

A: First compute the derivative of the given as follows.

Q: If f(x)=(2m-8)x-4 is a constant function m =?

A: We have been given a function f(x) = ( 2m - 8 )x - 4. For which value of m is f(x) a constant…

Q: 2. If f(x)=-2x-3 and g(x)=x²+5x, find each value a. f(-1) b. g(-3) c. g(-2)+2

A:

Q: There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute,…

A: In this question we have to prove the correct function.

Q: : Find extreme values of functions and where they occur Y = x3 - 2x + 4

A: Given function is : y=x3-2x+4 Find the extreme values of function and where they occur.

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

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.