Wednesday

September 17, 2014

September 17, 2014

Posted by **Anonymous** on Sunday, May 18, 2008 at 9:13am.

f(x)=(7x+13)/(13x-1)

(i)Calculate the exact values of the coordinates of the points of intersection of the graph of this function with the coordinate axes.

(ii)Calculate the equations of the asymptotes

(b)The line h(x)=ax+b passes through (-1,-3) and (3,5).

(i)Calculate a and b.

(ii)Solve f(x)<h(x)

help!!!

- Functions -
**drwls**, Sunday, May 18, 2008 at 10:42am(a) The function intersects the x axis where f(x) = y = 0. That would be where x = -13/7. It intersects the y axis where x = 0. At that point, the function tells you that y = -13.

There is a vertical asymptote there the denomiator is zero. (x = 1/13). As approaches infinity, f(x) approaces y = 7/13. That is a horizontal asymptote.

(b) Solve ths pair of equations for a and b:

-3 = -a + b

5 = 3a + b

The first step should tell you that a = 2. b = -1 h(x) = 2x -1

Once you have h(x), solve the inequality

(7x + 13)/(13 x-1) < 2x -1

I'll leave that step up to you

**Answer this Question**

**Related Questions**

Functions - (a)Consider the function: f(x)=(7x+13)/(13x-1) (i)Calculate the ...

Math - Consider the functions defined by f(x)=sin2x and g9x)=1/2tanx for x E[-90...

maths - geometry - In a space with an orthonormal coordinate system consider the...

Math - What are the similarities and differences between functions and linear ...

Math - What are the similarities and differences between functions and linear ...

math - Question-2; Consider the function f(x)= -cos3x -4sin3x. (a)Find the ...

math - The application of one function followed by the application of a second ...

Precalculus - The application of one function followed by the application of a ...

maths - 1)y=x²-3x+2 2)y=8x-16/x-3 A)Sketch both on axes B)Calculate coordinate ...

math - 1)y=x²-3x+2 2)y=8x-16/x-3 A)Sketch both on axes B)Calculate coordinate of...