Respuesta :

Answer:

[tex]x=15/2=7.5[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=2x+1[/tex]

And we want to find x such that:

[tex]f(x)=16[/tex]

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

[tex]f(x)=2x+1\\16=2x+1[/tex]

Subtract 1 from both sides. The right side cancels:

[tex](16)-1=(2x+1)-1\\2x=15[/tex]

Divide both sides by 2. The left side cancels:

[tex](2x)/2=(15)/2\\x=15/2=7.5[/tex]

The value of x is 7.5

Answer:

[tex]x=\frac{15}{2}[/tex]

Step-by-step explanation:

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

[tex]f(x)=16\\\\16=2x+1[/tex]

Solve for x. Subtract 1 from both sides:

[tex]16-1=2x+1-1\\\\15=2x[/tex]

Divide both sides by 2 to isolate x:

[tex]\frac{15}{2} =\frac{2x}{2} \\\\\frac{15}{2}=x[/tex]

When f(x) equals 16, x is equal to [tex]\frac{15}{2}[/tex]