Question

Given f(x) = 3/2x - 8, solve for x when f(x)= 7

Answer 1

x is 10 when f(x) = 7

Explanation:

f(x) is another way of saying y=. The question is basically asking, what is the value of x when the 3/2x - 8 = 7

So, to do this, you are going replace y with it's numerical value. The numerical value given to you is 7. Now, you are going to solve for x (by isolating x).

`7= (3)/(2) x-8\\7+8= (3)/(2) x-8+8\\15 = (3)/(2) x\\15 / (3)/(2) = ((3)/(2)x) / 3/2\\10=x`

f(10) = 7

Check your work?

Plug in 10 where you see x.

y = 3/2x - 8

y = (3/2)(10)-8

y = 7 ✅