1. Show that if a<0 the range of f() = ar +q is (f(x): f(x) se.

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

Q: Differentiate the following with respect to x: f(x) = x³In (x)

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Q: do you agree with the contention that the functions f(x) = x+2 and g(x)=x2-4 /x-2 are the same in…

A: It is given that, f(x) = (x+2)     and     g(x) = ( x2-4)/(x-2) Then we will prove that f(x) and…

Q: Evaluate the following functions. 1. Iff(x) = x? - 2x +7, find a) f(0), b) f(2y+1). 2. If F(y) = vty…

A: Given:1. fx=x2-2x+72. Fy=yy-32

Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: Consider the function f given by f(x)=x/(x+3). The line tangent to f is parallel to the line x-3y=3…

A: The slope of a function f(x) is given be the first derivative of the function and slope of the…

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

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Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

A: As per our guidelines, we are supposed to answer only one question with three subparts only. since…

Q: 1. Describe all functions f such that f(r) ar² + bx +c and f(1) = 2 and f(-1) = 6.

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Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

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Q: 6. Given the functions y = f(x) and y = g(x), determine () (2) and determine the domain and range of…

A: Given two functions f(x) and g(x): Graph of function f(x):

Q: Given the functions f(x) = 2* and g(x)=x², determine the range of the combined f(x) g(x) O a) {y 0}…

A: The given functions  and .The objective is to find the range of the function .

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: Given the following function: f(x) = 2x For g(x) f(x) dx, determine g(x).

A: Given,       fx=2x       gx=∫fxdx

Q: 21. What is the domain and range of f(x) = V– In x ?

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 16. Given f(x) = 2* + 2, g(x) = x² − 1, and h(x) = 2x, determine an algebraic and a graphical model…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

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Q: Use the given conditions to find an equation in slope-intercept form of each of the nonvertical…

A: Given query is to find the equation of the line.

Q: Evaluate f(x+h) given that f(x)=6x2−2x−4. f(x+h)=

A: Given  f(x) = 6x2-2x-4      ....(1)

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) 7 + Hu…

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Q: Suppose we have a function defined by f(x)={2for x>1,xfor x≤1. What is the value of f(1) ?

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Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 − 4/x − 2 are the…

A: I am not agreed with this fact that f(x) and  g(x) are the same in every respect. The reason behind…

Q: Suppose that f(x) is a function with f(135) = 43 and f'(135) = 7. Estimate f(138). f(138) = ____

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