Question

F(x)=7x-4 and f(x)=17 find x

Answer 1

x = 3

Explanation:

We are given an equation in function notation and asked to solve for x. We can do this by isolating the variable.

Solving for x

First, substitute 17 into the equation for f(x).

• 17 = 7x - 4

Now, we can isolate the x-variable by adding 4 to both sides.

• 21 = 7x

Then, divide both sides by 7.

• 3 = x

This means when f(x) = 17, x = 3.

Checking the Answer

Now that we have solved for x, we can check the answer we got. Plug 3 into the original equation for x and see if the equation remains true.

• 17 = 7(3) - 4
• 17 = 17

Since 17 = 17 is a true statement, the answer x = 3 must be correct.