Given f(x) and g(x), evaluate f[g(2)]. f (x) = 2? – and g (x) = 3x + 2

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: If f (x) = (e²)² , what is f'(x) ?

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Q: What is g (f (2)) ? f (x) = 3x2 + 1 g (x) = -x + 2

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Q: Find (f-g)(x). Simplify the result. f(x) = x²-6x + 3 g(x) = 3x2 - 5

A: Given that, fx=x2-6x+3 and gx=3x2-5.

Q: f(x) = x² + 3x – 5 - Suppose What is f(-3a)?

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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: The domain of f(x)=1/x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of g(x)=4/x+3−7g(x)=4x+3-7?

A: Given the domain of f(x) = 1/x is (-∞ , 0) U(0 ,∞). We need to find domain of  g(x) = 4/x+3 -7 Now,…

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

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

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Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: Given that f(x) = 3x – 1, g(x) = 2x and h(x) = x + 1, determine: a. hgf(x)  b. hgf(-2

A: Given : f(x) = 3x-1             g(x) = 2x             h(x) = x+1  To Find : hgf(x)…

Q: The fixed-points of f(x) = (x² + 2) are_ and

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

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Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

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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: Find real values of x for which f(x) = 0. f(x) = x2 − 81

A: Find real values of x for which f(x) = 0.

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?

A: In the interval [-2,2] the function g attain the absolute maximum at the point  x=0

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: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: If f(x)=x²+3 and g(x)=x+2, what is (f-g)(x)? .2

A: From the given data

Q: given: g(x)= 8x^2-x^3 Find G'(a)

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

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Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

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Q: The fixed-points of f(x) = (x² + 2); are and

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Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

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Q: The fixed-points of f(x) = (x² + 2) are and

A: Solution :  The fixed point of the function f(x) is  f(x) = x  Since, given function is  f(x) = 1/3…

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

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Q: The domain of f(x) = v2x + 1 is

A: According to the question, we have to find the domain of the above algebraic function fx=2x+1. The…

Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

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Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let h(x) = f(x) +g(x). If f(x) = 2x2 and g(x) = 8x, what is h' (x)? Do not include "h' (x) =" in…

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: Find all the possible x-values of f(x)=√x - 2

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Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: Given the function f (x) = -3x + 2, what is f (2)?

A: Given:  The function f (x) = -3x + 2

Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: 32) If f(x) = -3x+ 2 and g(x) = 2x², find f(g(-1)).

A: Given values are f(x)= -3x+2                            g(x)= 2x2 we need to find f(g(-1)).  This…

Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

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Q: If f(x) = 2x2 -3 and g(x) = 3x + 2, what is f(x) + g(x)?

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Q: The fixed-points of f(x) = (x² + 2) a and

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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: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem