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Math Help - help me with function notation and other

  1. #1
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    Question help me with function notation and other

    Hello, please help me with the following questions:

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

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

    Q3) Factorise: 4t-1

    Q4) Solve: 3x-x-5=0

    Thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    are these homework problems?

    Quote Originally Posted by greenbean View Post
    Q1) For the function g(x)=x-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 (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)


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

    this is the difference of two squares. factor accordingly

    Q4) Solve: 3x-x-5=0
    use the quadratic formula. you do remember it, right?
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  3. #3
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    thanks!
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