Given the functions: f(x) = −5x g(x) = 3x + 7 h(x) = 18x² + 33x – 21 Determine each of the following. Give your answers as simplified expressions written in descending order. g(x) + h(x) = Find and simplify g(x) + h(x) Find and simplify h(x) – g(x) Find and simplify f(x) · h(x) h(x) g(x)' Find and simplify need to factor h(x) hint: you will The domain restriction for Function Operations g(x) f(x) Question Help: Post to forum is h(x) g(x) x # h(x) – g(x) = [192x² - 76] f(x).h(x) =

Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64…

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,…

Q: The dollar cost of producing x bagels is C(x) = 300 + 0.25x – 0.6(- 1000 Determine the cost of…

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Q: Given the function f(x) = - 2x? + 5x + 4, evaluate and simplify the following expressions: a. f(r +…

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Q: Use the functions f(x) = -3x – 14 and g(x) = 2x2 + 5x – 7 to evaluate the following: a. f(8) = b.…

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Q: The function T(x)=65x is the number of words, T(x) that a secretary can type in x minutes. How many…

A: Consider the given function as Tx=65x Where Tx that a secretary can type in x minutes.

Q: х + 40, where 4 b. The temperature (in degrees Fahrenheit) can be approximated by the function c(x)…

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A: Consider the two given expression [(3x - 5/x - 1)] and [(x - 3/x - 1)] First subtract first…

Q: The functions f and g are defined as follows.= f(x) =+ 2x3 +6        g(x) = −3x + 2 Find f(−2) and…

A: The functions f and g are defined as :…

Q: Use the given functions to calculate each operation and simplify.   f(x)=1/x-9    g(x)=-7x-4…

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Q: Given f1x2 = 3x + 1 and 1f + g2 1x2 = 6 - 12 x, find the function g.

A: Given :         f(x) = 3x + 1 ; (f+g)(x) = 6 - 12x   To find :           The function g.

Q: Given the function f(x) = 6x² + 2x - 6, calculate the following: %3D f(2) : 22 %3D f(- x) = %3D

A: Given  f(x) = 6x2 + 2x - 6 For f(2) , put x= 2 in the above function And f(-x) , replace x with -x…

Q: Find and simplify f(a + h) − f(a) h,    (h ≠ 0) for the following function. f(x) = 6x2 − 4x + 9

A: Let's find.

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: A diver jumps off a diving board. The diver's height above the water, in meters, is represented by…

A: Thus, the correct answer is There are no points of inflection  Height of the diver above the water…

Q: Use f(x) = 6x2 and g(x)= x -6 divided by 2 to evaluate the expression A. (f x g)(4)=…

A: Here given that , fx=6x2gx=x-62 Thus, the function f×gx is given by,…