Hello, please help me with the following questions:

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

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- Mar 29th 2008, 06:30 PMgreenbeanhelp me with function notation and other
Hello, please help me with the following questions:

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 PMJhevon
are these homework problems?

write as x(x - 4)

now replace x with (a + 1) and simplify

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

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

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: $\displaystyle y - y_1 = m(x - x_1)$. this gives the equation of the line with slope $\displaystyle m$ passing through the point $\displaystyle (x_1,y_1)$

Quote:

Q3) Factorise: 4t²-1

this is the difference of two squares. factor accordingly

Quote:

Q4) Solve: 3x²-x-5=0

- Mar 29th 2008, 07:12 PMgreenbean
thanks!