Question

Si f(x)=1/x, demuestre que f(a)-f(b)=f(ab/(b-a))

Answer 1

Answer:

Step-by-step explanation:

f(x) = $\frac{1}{x}$

f(a) = $\frac{1}{a}$

f(b) = $\frac{1}{b}$

f(a) - f(b) = $\frac{1}{a}$ - $\frac{1}{b}$ = $\frac{b - a}{ab}$

f( $\frac{ab}{b - a }$ ) = $\frac{1}{\frac{ab}{b-a} }$ = $\frac{b - a}{ab}$

f(a) - f(b) = f( $\frac{ab}{b - a }$ )