Question

Evaluating a Function In Exercises 5-12, evaluate the function at the given value(s) of the independent variable. Simplify the results. 5. f(x) = 3x - 2 (a) f(0) (b) f(5) (c) f(b) (d) f(x - 1)

Answer 1

Since the given function is

`f(x)=3x-2`

We want to evaluate it at some values of x

a) To find f(0), substitute x by 0

`\begin{gathered} x=0 \\ f(0)=3(0)-2 \\ f(0)=0-2 \\ f(0)=-2 \end{gathered}`

b) To find f(5), substitute x by 5

`\begin{gathered} x=5 \\ f(5)=3(5)-2 \\ f(5)=15-2 \\ f(5)=13 \end{gathered}`

c) To find f(b), substitute x by b

`\begin{gathered} x=b \\ f(b)=3(b)-2 \\ f(b)=3b-2 \end{gathered}`

d) To find f(x-1), substitute x by (x - 1)

`\begin{gathered} x=(x-1) \\ f(x-1)=3(x-1)-2 \end{gathered}`

Simplify it by multiply 3 by the bracket

`\begin{gathered} f(x-1)=3(x)-3(1)-2 \\ f(x-1)=3x-3-2 \end{gathered}`

Add the like term

`\begin{gathered} f(x-1)=3x+(-3-2) \\ f(x-1)=3x+(-5) \\ f(x-1)=3x-5 \end{gathered}`