Search over 10,000 free study notes

The best way to answer these kind of questions is by moving all the unknowns to one side. In this case, the only unknown is x, so we should start by moving all the x's to one side. Since there are 4x's on...

The square of 5 is 25 and the square of 7 is 49. The prime numbers found between these 2 values are: 29, 31, 37, 41, 43 and 47. This means the smallest value fitting the criteria is 29 and the largest val...

a) y=3x+4

b) (3,13)

= (1/125) ^ 2/3  = (1/5) ^ 2 = 1/25 To find a number to a negative power, you invert it (flip it so that 125 becomes 1/125) To find (1/125) ^ 2/3, find the cube root of 1/125 (=1/5) and then square it (=1...

Here, f(x) and g(x) are functions of x, whose output depends on the value of x.

fg(2) means fg(x) where x=2.

Firstly, calculate g(2) and use this answer as the new value of x for f(x).