Question

Given the function F defined by the formula f (x)= 2x + 1 find the following:(a.) F(4)(b) F(-5)(c) F(0)(d) F(1/2)

Answer 1

a) f(4) = 9

b) f(-5) = -9

c) f(0) = 1

d) f(1/2) = 2

Step-by-step explanation:
`\begin{gathered} \text{function:} \\ \text{f(x) = 2x + 1} \end{gathered}`
`\begin{gathered} a)\text{ f(4): x = 4} \\ f(4)=\text{ 2(4) + 1} \\ f(4)\text{ = 9} \end{gathered}`
`\begin{gathered} b)\text{ f(-5): x = -5} \\ f(-5)\text{ = 2(-5) + 1} \\ f(-5)\text{ = -10 + 1} \\ f(-5)\text{ = -9} \end{gathered}`
`\begin{gathered} c)\text{ }f(0)\colon\text{ x = 0} \\ f(0)\text{ = 2(0) + 1} \\ f(0)\text{ = 0 + 1} \\ f(0)\text{ = 1} \end{gathered}`
`\begin{gathered} d)\text{ }f((1)/(2))\colon\text{ x = 1/2} \\ f((1)/(2))\text{ = 2(}\frac{\text{1}}{2})\text{ + 1} \\ f((1)/(2))\text{ =}1\text{ + 1} \\ f((1)/(2))\text{ = 2} \end{gathered}`