# help me with function notation and other

• Mar 29th 2008, 06:30 PM
greenbean
help me with function notation and other

Q1) For the function g(x)=x²-4x
Find in the simplest form g(a+1)

Q2) Find the equation of the line joining: (3,4) and (5,-3)

Q3) Factorise: 4t²-1

Q4) Solve: 3x²-x-5=0

Thanks
• Mar 29th 2008, 06:46 PM
Jhevon
are these homework problems?

Quote:

Originally Posted by greenbean
Q1) For the function g(x)=x²-4x
Find in the simplest form g(a+1)

write as x(x - 4)

now replace x with (a + 1) and simplify

Quote:

Q2) Find the equation of the line joining: (3,4) and (5,-3)
the slope of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ are given by: $m = \frac {y_2 - y_1}{x_2 - x_1}$

the equation of a line is of the form $y = mx + b$

you can find m using the above formula and then use one of the coordinates as the values of x and y. plug them in the equation of the line along with m and solve for b. or, if you prefer, you can use the point slope form: $y - y_1 = m(x - x_1)$. this gives the equation of the line with slope $m$ passing through the point $(x_1,y_1)$

Quote:

Q3) Factorise: 4t²-1
write as (2t)^2 - 1

this is the difference of two squares. factor accordingly

Quote:

Q4) Solve: 3x²-x-5=0
use the quadratic formula. you do remember it, right?
• Mar 29th 2008, 07:12 PM
greenbean
thanks!