Evaluate L{f(t)} for if 0 < t,t + 1,t # 2 if t = 1 1 (i) f(t) = 3 -3 ift = 2 (ii) f(t) = 1 2t +1 if 0

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: Let f(x) f-¹(x) = 1 x + 11

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

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Let f(x) = 1+ V7x +1. Determine the largest possible domain of f(x) Select one: • [-1/7, +o0)

A: Given function is  fx=1+7x+1

Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: (x2+3). Explain why √x4+24 Q7. Consider the function f : [0, 1] → R, x→ (a) f continuous, (b) f is…

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Q: t) For each of the following functions, state whether they are one-to-one or not. (You must enter T…

A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A: