Posted by **Rebekah** on Thursday, August 30, 2012 at 2:01pm.

I have a few problems from my homework that I am having trouble with.

#1 Find the difference quotient of f foreach function

f(x)=1/(x+3)

I got -2x+6

#2 Express the area of an isosceles right triangle as a function of the length x of one of the two eual sides

Thanks

- pre calc -
**Steve**, Thursday, August 30, 2012 at 3:42pm
The difference quotient,

∆f/∆x = [f(x+h)-f(x)]/h

= [1/((x+h)+3) - 1/(x+3)]/h

= 1/h [(x+3) - (x+h+3)] / (x+h+3)(x+3)

= 1/h (-h)/(x+h+3)(x+3)

= -1/[(x+h+3)(x+3)]

The legs are x and x. One leg is the base, the other leg is the height, so the area is 1/2 bh = 1/2 x^2

Why can't the hypotenuse be one of the equal sides? Because the hypotenuse is longer than either leg.

- pre calc -
**Rebekah**, Thursday, August 30, 2012 at 5:49pm
for the second problem what is th height??

- pre calc -
**Rebekah**, Thursday, August 30, 2012 at 5:50pm
ohh wait ok that was me just having a dumb moment haha. THANKS sooo much:)

## Answer This Question

## Related Questions

- Algebra difference quotient - I am doing difference quotient. I am to write the ...
- Calc - Express the surface area of a cube as a function of its volume. I did ...
- Pre-Algebra - I am having trouble understanding how to answer this type of ...
- Calc help - find the area of the region enclosed by y=e^2x, y=e^5x, and x=1. i ...
- Pre-Calc - I'm stuck on a pre-calc problem. I need to find y as a function of x...
- pre calc - f(x)=-3x+2 a) express the slope of the secant line of each function ...
- pre-calc - a farmer wants to make a rectangular enclosure using a wall as one ...
- pre-calc - a semicircle of radius r=3x is inscribed in a rectangle so that the ...
- chemistry - A solution prepared by mixing 16.7 mL of 0.760 M NaCl and 16.7 mL of...
- A L G E B R A H ELP MS SUE. - I THINK I MAY HAVE DONE MY HOMEWORK WRONG BECAUZE ...

More Related Questions