Chapter 3: Q. 3.95 (page 322)

For the function $f (x) = 3 x^{2} - 2 x + 1$ , evaluate the function.
$f (3)$
$f (- 1)$
$f (t)$

Short Answer

Expert verified

Part (a) $f (3) = 22$

Part (b) $f (- 1) = 6$

Part (c) $f (t) = 3 t^{2} - 2 t + 1$

Step by step solution

Part (a) Step 1.

The function is:

$f (x) = 3 x^{2} - 2 x + 1$

Substitute $x = 3$ in $f (x)$ ,

localid="1644632386157" $\begin{array}{rcl} f (3) & = & 3 {(3)}^{2} - 2 (3) + 1 \\ = & 27 - 6 + 1 \\ = & 22 \end{array}$

Part (b) Step 1.

Substitute $x = - 1$ in localid="1644632583385" $f (x) = 3 x^{2} - 2 x + 1$ ,

localid="1644632500531" $\begin{array}{rcl} f (- 1) & = & 3 {(- 1)}^{2} - 2 (- 1) + 1 \\ = & 3 (1) + 2 + 1 \\ = & 6 \end{array}$

Part (c) Step 1.

Substitute $x = t$ in localid="1644632569309" $f (x) = 3 x^{2} - 2 x + 1$ ,

localid="1644632550558" role="math" $\begin{array}{rcl} f (x) & = & 3 {(t)}^{2} - 2 (t) + 1 \\ = & 3 t^{2} - 2 t + 1 \end{array}$

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For the function $f (x) = 3 x^{2} - 2 x + 1$ , evaluate the function.
$f (3)$
$f (- 1)$
$f (t)$

Short Answer

Step by step solution

Part (a) Step 1.

Part (b) Step 1.

Part (c) Step 1.

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For the function fx=3x2-2x+1, evaluate the function.f3f-1ft

Short Answer

Step by step solution

Part (a) Step 1.

Part (b) Step 1.

Part (c) Step 1.

One App. One Place for Learning.

Most popular questions from this chapter

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For the function $f (x) = 3 x^{2} - 2 x + 1$ , evaluate the function.
$f (3)$
$f (- 1)$
$f (t)$