Question

topic; function,domain,range
if f(x) = 3 * find
a. f(2x-1)/f(2x+1)
b. f(2x-1)-f(2x+1)

Answer 1

\[if f(x) = 3 ^{x} find a. f(2x-1)/f(2x+1) b. f(2x-1)-f(2x+1\]

Answer 2

ok... so substitute

x = 2x -1

then

x = 2x + 1

so you have

\[\frac{f(2x -1)}{f(2x + 1} = \frac{ 3^{2x - 1}}{3^{2x + 1}}\]

now apply the index law for division

\[3^{(2x - 1) - (2x + 1)} = 3^{ 2x - 2x - 1 -1} = \]

now simplify

Answer 3

whats index law