Thread: help 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

are these homework problems?

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

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

the slope of the line passing through the points and are given by:

the equation of a line is of the form

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: . this gives the equation of the line with slope passing through the point

Q3) Factorise: 4t²-1

write as (2t)^2 - 1

this is the difference of two squares. factor accordingly

Q4) Solve: 3x²-x-5=0

use the quadratic formula. you do remember it, right?

thanks!