Question

F(x)=2x+1 find x if f(x)=16 . Please help with this

Answer 1

`x=(15)/(2)`

Explanation:

We are given the value of f(x). Insert this value into the original equation:

`f(x)=16\\\\16=2x+1`

Solve for x. Subtract 1 from both sides:

`16-1=2x+1-1\\\\15=2x`

Divide both sides by 2 to isolate x:

`(15)/(2) =(2x)/(2) \\\\(15)/(2)=x`

When f(x) equals 16, x is equal to
`(15)/(2)`

Answer 2

`x=15/2=7.5`

Explanation:

So we have the function:

`f(x)=2x+1`

And we want to find x such that:

`f(x)=16`

To do so, substitute 16 for f(x):

`f(x)=2x+1\\16=2x+1`

Subtract 1 from both sides. The right side cancels:

`(16)-1=(2x+1)-1\\2x=15`

Divide both sides by 2. The left side cancels:

`(2x)/2=(15)/2\\x=15/2=7.5`

The value of x is 7.5