Functions questions | form five Pure Advanced Mathematics

For the function, f(x) =^{[ (x+1)(x+3)]}/_[x²+8x+12]

• sketch the curve of the function
• Find its domain and range

Answer / Solution

UNSOLVED

The function fis defined by f(x) = ^(3x-2)/_(x+1)

• what is the range of f
• find  f^-1(x)
• determine the domain and range of f^-1(x)

Answer / Solution

UNSOLVED

1. Given that f(x)=10x, g(x)=x+3  find fg(x) and (fg)^-1 (x). Verify that if b=fg(a) then (fg)^-1(b)=a.
2. Find the set of values of p for which is greater than zero for all real values of x.

Answer / Solution

UNSOLVED

1. Given the functions and . Show that .
2. If , , and  , find the values of a and b.

Answer / Solution

UNSOLVED

Given that ,

1. find horizontal and vertical asymptotes of f(x).
2. Sketch the graph of f(x).
3. State the domain and range of the function f(x).

Answer / Solution

UNSOLVED