Question

f(x) = 7/2x-6 For what value of x does function f has the given value?
f(x)= 2/3

Answer 1

You can use substitution to find the value of x.

f(x) is already given as 2/3 and you're also given the function of f(x)

Plugging in the value 2/3 in to the function will allow you to solve for the value of x.

2/3 = 7/2 (x) - 6 Now you must move all the constants to one side and keep the x-values on the other.

(2/3) + 6 = (7/2)x simplify the left side

(2 + 18)/3 = (7/2)x simplify further

20/3 = (7/2)x Now to solve for the value of x we must multiply by the reciprocal of 7/2 to eliminate it from the right side, and what you do to one side, you must do it to the other.

(2/7) * (20/3) = (2/7) * (7/2)x now we simplify our answer on the left side and we will get our value of x.

40/21 = x