Given f(x) = 2x2 +3x − 1 and g(x) = 2x − 4, find the following. (If an answer is undefined, enter UNDEFINED.) (f · g)(−2)

Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

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Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: Use f (x) = 2x – 3 and g(x) = 4x² + 2 to find fog.

A: Given :  f(x) = 2x - 3g(x) = 4x2 + 2

Q: Given g(x)=/3x – 4h(x)= 3x+5 Find g(h(x)) What is the domain?

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: Given f(x) = x - 2x+2, find the value(s) for x such that f(x) = 10. The solution set is

A: We have to find the values of x such that fx=10 for the given function: fx=x2-2x+2 Putting value of…

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

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

A: .The given rational function is f(x)=x2-12x+27x2-4x+5. We can determine the image of the function…

Q: For the rational function f(x)=x+1x2−2x−3, solve f(x)=1

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Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (fg)(0) equal?

A: Given that:   The function, fx=3x+2,       gx=x-5

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

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Q: Find real values of x for which f(x) = 0. f(x) = 4x + 6

A: To find the real values of x for which fx=0. Solution: Put fx=0 and solve for x.…

Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

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Q: Given f (x) = 2æ? - = 2x2 4.x +9 and g (a) 4x +1: Find (fog) (-1)

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Q: For which values of c does f(x)=x2+cx+4 have a double root? For which values of c does f have no…

A: For which values oF c does F(x)=x2+cx+4 have a double root? For which values oF c does F have no…

Q: Solve the equation x2 - 5x2 + 2x + 8 = 0 given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8.

A: Given function f(x) - f(x) = x3-5x2+2x+8Given that x = -1 is the solution of the function f(x),Then…

Q: If Iƒ g(x) = −3x − 4 and h(x) = −x² + x, find g (h (8)). -

A: Given gx=-3x-4hx=-x2+x

Q: If one root of f(x) = x2 − 4x + 5 is 2 + i, what else do you know?

A: f(x)=x2-4x+5                                    One root is:=…

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: As x approaches negative infinity, which of the following describes the end behavior of f (x ) =…

A: Given, fx=-x7+bx3+cwe have to find the behaviour of this function.

Q: find the value of (k) to continue the function x²-3x2-4x+12 f(x)={ * * 31 x-3 x = 3.

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Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: Solve the equation x- 5x +2x + 8 = 0 given that 1 is a zero of f(x) = x° - 5x+2x + 8. 5x +2x +8.

A: Solution :-Given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8So, (x+1) must be factor of f(x)f(x) =…

Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: f(x) = x2 - 20

A: we have to find the f(x+h) and f(x) + f(h) where f(x)=x2-20

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

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Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

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Q: if g(x)=4x^2-13, given the equation for g^-1(x)

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: Given f(r)=-3x+4 and g(x) = x+7, what is the value of g(f(2)) ?

A: C is correct

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

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Q: Given the function f(x) = 5x+3/2x-1 a. Determine f-1(x). b. Hence solve the equation 5x+3/2x-1 = 8

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

Q: Given f (x) = (2*)* and g (x) = 8*, algebraically find the solution(s) to f (X) = g (x).

A: NOTE: Refresh your page if you can't see any equations. . to find the solutions, compare both…

Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

Q: 31. f(x) g(x) =

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Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: Given f(x)=2x @ g(x)=3x+4,solve for (g o f)(x)

A: Given- fx = 2x, gx = 3x + 4 To find- Solve for g∘fx

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

A: We have to find (f/g)(-2).

Q: . For f(x) = 6x + 8, find the solution to f(x) = 35.

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Q: 2. Given f(x) = 2x² + 3x – 5 and g(x) = 4x + 7, find and simplify: a) f -g b)g¬'(f(x))

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Q: Given f(x) = -x – 1, solve for x when f(x) = 6. %3D

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Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

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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.