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

Q: Let f(x) f-¹(x) = 1 x + 11

A: we need to find the inverse of the function.

Q: A function f(x) is defined as: 3 f(x) = x³-2x+ x2 At x = a, where −2 < a < 2, the tangent to the…

A:

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: If f(x) = x2 - x/ x - 1 and g(x) = x Is it true that f=g?

A: given  f(x)=x2-xx-1g(x)=x

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

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

Q: Given f(x) = V4x² + 1, define functions m, n, h, and k such that f(x) = (m •n •h• k)(x).

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Q: Find the local and global extremum values of the function f(x)=x²-3x+1 on the interval 0 ≤ x ≤ 2.

A:

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

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: Find a function f(1) such that | f(z)dr= 2² – 5.

A:

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

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

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

Q: Determine f'(x)given f(x) =(3x – 6) • Vx

A: We are given a function which is product of two different functions i.e. f(x)=(3x-6).3√x we need to…

Q: Let  f(x) = 2 + x + x2 and h ≠ 0. how do i find: f(x + h)

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Q: Consider the function f(x) =(x +1 )( x-1)² 16. What is the inflection point?

A: