Question

Which of the following functions are onto function if f: →
(a) f(x) = 115x + 49
(b) f(x) = |x|

Answer 1

Answer:

The correct option is (a): f(x) = 115x + 49

Step-by-step explanation:

For 1st case:

Onto function which co-domain = range f(x)= 115 x^49

This function ranges €R

Also given co-domain €R

Hence, we can say that this is an onto function.

Now for 2nd case:

(2) f(x)=|x|

This function ranges (0,infinity)

But co-domain €R

so, this is not into function.