Chapter 3: Q. 3.97 (page 323)

For the function $g (x) = 4 x - 7$ , evaluate the function.
$g (m^{2})$
$g (x - 3)$
localid="1644747294810" $g (x) - g (3)$

Short Answer

Expert verified

Part (a) $g (m^{2}) = 4 m^{2} - 7$

Part (b) $g (x - 3) = 4 x - 19$

Part (c) $g (x) - g (3) = 4 x - 12$

Step by step solution

Part (a) Step 1.

Substitute $x = m^{2}$ in localid="1644747562374" $g (x) = 4 x - 7$ ,

localid="1644747601123" $\begin{array}{rcl} g (m^{2}) & = & 4 (m^{2}) - 7 \\ = & 4 m^{2} - 7 \end{array}$

Part (b) Step 1.

Substitute $x - 3$ for $x$ in $g (x) = 4 x - 7$ ,

$\begin{array}{rcl} g (x - 3) & = & 4 (x - 3) - 7 \\ = & 4 x - 12 - 7 \\ = & 4 x - 19 \end{array}$

Part (c) Step 1.

$\begin{array}{rcl} g (x) - g (3) & = & (4 x - 7) - (4 (3) - 7) \\ = & 4 x - 7 - (12 - 7) \\ = & 4 x - 7 - 5 \\ = & 4 x - 12 \end{array}$

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For the function $g (x) = 4 x - 7$ , evaluate the function.
$g (m^{2})$
$g (x - 3)$
localid="1644747294810" $g (x) - g (3)$

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 g(x)=4x-7, evaluate the function.gm2gx-3localid="1644747294810" gx-g3

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

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Pure Maths

Probability and Statistics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

For the function $g (x) = 4 x - 7$ , evaluate the function.
$g (m^{2})$
$g (x - 3)$
localid="1644747294810" $g (x) - g (3)$