Determine whether the function f is onetoone fx 2x5SolutionG

Determine whether the function f is one-to-one. f(x)= 2x+5

Solution

Given function is f(x)= 2x+5

A function f(x) is said to be one-to-one,if f(a) = f(b) implies a=b

Let\'s check for it.

f(a) = f(b)

2a+5 = 2b+5

2a = 2b

a = b

Thus, f(a) = f(b) implies a = b.

Therefore, given function f is a one-to-one function.