Question

If f:R→R is defined by the function

f(x)=2x+1, then the pre-image of 17 is:

a) 7

b) 8

c) 16

d) 9

Answer 1

The pre-image of 17 under the function f(x) = 2x + 1 is 8.

Step-by-step explanation:

The pre-image of 17 under the function f(x) = 2x + 1 can be found by solving the equation 2x + 1 = 17 for x. Subtracting 1 from both sides of the equation gives 2x = 16. Dividing both sides by 2 gives x = 8. Therefore, the pre-image of 17 is 8. So, the correct option is b) 8.