Exploring 2526 Pka4 Qa3 Sm015

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  • Given g(x)=3/2-x, x less than 2 (a) Find all x such that g(x)≥2. (b) (i) Show algebraically that g(x) is one-to-one function.
  • Given g(x)=3e^2x-4, x∈R and h(x)=1/2ln(x+4/3), x more than -4. (a) Find (hog) and (goh). Hence, state the conclusion about the ...
  • (a) Let f(x)=|2x-5| and g(x)=x+3 (i) Find the interval of x for which f(x)≤g(x). [3 marks] (ii) If h(x)=f(x)-3g(x), express h(x) as a ...
  • Given y=(2x+3)/(x-1)(x+5). By finding the limit at appropriate points, obtain the horizontal and vertical asymtotes. [6 marks]
  • Given f(x)=3-sqrt(5+2x) (a) Find the domain and range of f(x). [2 marks] (b) Show that f(x) is one-to-one function by using algebraic ...

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Given f(x)=x^3 - 6x^2 + 9x + 2 (a) Find the stationary points of f(x). [4 marks] (b) Hence determine the extreme point by using ... Given f(2-3x)= (x+2) / (x+4), x ≠ 4 (a) Find f(x) and state (fof)(x). [5 marks] (b) Show that f(x) is one to one function by using ... Air is pumped into a spherical ballon. At a certain instant the radius of the ballon is r=15cm and the air is being pumped in at a rate ... Given g(x)=3e^2x-4, x∈R and h(x)=1/2ln(x+4/3), x more than -4. (a) Find (hog) and (goh). Hence, state the conclusion about the ...

The functions f and g are defined by f(x)=x^2+2kx+4, x∈R and where k is a non zero constant. (a) Find the range of f(x) in terms of ...

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