(a) The inverse function of f(x)=log(x) is f−1(x)= 1/log(x)
true
false
(b) If a and b are positive constants, then y=ln(ax+b) has no vertical asymptote.
true
false

Question

(a) The inverse function of f(x)=log(x) is f−1(x)= 1/log(x)
true
false    
(b) If a and b are positive constants, then y=ln(ax+b) has no vertical asymptote.
true
false

ash2326 · Answer

@nohegarcia if f(x) is an invertible function, with inverse function $f^{-1}(x)$ then
$$f(f^{-1} ((x))=f^{-1}( f(x))=x$$
check if this is satisfied in the first question

ash2326 · Answer

@nohegarcia do you get my point?

anonymous · Answer

i do i judt dont know how to get there

anonymous · Answer

nevermind i found it thanks!

ash2326 · Answer

We have 
$$f(x)=\log (x)$$
$$f^{-1} (x)=1/\log x$$
$$f(f^{-1} (x))=\log (\frac 1 {\log x})\ne x$$
and
$$f^{-1}(f(x))=\frac{1}{\log ({\log x}})\ne x$$
so is this true or false?

anonymous · Answer

false cause 1/log(x) is reciprocal not inverse

ash2326 · Answer

good:D