+400 Consider the two expressions $1$ and $\frac{2x+3}{2x+3}.$
a) Show that the two expressions represent equal numbers when $x=10.$
b) Explain why these two expressions do not represent equal numbers when $x=-\dfrac32.$
c) Show that these two expressions represent equal numbers for all $x$ other than $-\dfrac32.$
In parts (a) and (c), begin by explaining what your strategy for solving will be.
+297 NOTE: notice that \(\frac{2x+3}{2x+3} = 1\)
a. since both are equal to one, any number we plug in will just be 1.
b. \(x=-\dfrac32\)for this, the denominator will equal zero when you plug it in.
c. No other real numbers can make the denominator 0, therefor all others work.
