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By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and g(x)=2x-1 will be 0 and 1.
given functions are,
let us put x=0
f(0) = 1
g(0) = 1
f(0)=g(0)=1
so 0 will be a solution.
let us put x=1
f(1)= 3
g(1) = 3
f(1)=g(1)=3
so 1 will be also a solution
let us put x=2
f(2) = 9
g(2) = 5
f(2)≠g(2)
so 2 will not be solution.
x=-2 and x=-1 clearly will not be solution because,
g(-2) = negative value but f(x) cannot be negative, being an exponential function.
<h3>what is an exponential function?</h3>
Any function in form f(x)= pˣ, where p≥1, is called an exponential function.
therefore, solutions to f(x) = g(x) will be 0 and 1.
to get more about exponential function refer to:
