Ashleenbondidn
Answered

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Select the correct answer.

If function [tex]g[/tex] is defined by the equation [tex]y - 3x = -14[/tex], which equation represents the function in function notation?

A. [tex]g(x) = 3x - 14[/tex]
B. [tex]g(x) = -3x - 14[/tex]
C. [tex]g(x) = 3x + 14[/tex]
D. [tex]g(x) = -3x + 14[/tex]

Sagot :

GinnyAnsweridn
Let's solve the given problem step-by-step.

We are given the equation [tex]\( y - 3x = -14 \)[/tex]. To express this equation in function notation [tex]\( g(x) \)[/tex], we need to solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex].

1. Start with the given equation:
[tex]\[ y - 3x = -14 \][/tex]

2. To isolate [tex]\( y \)[/tex], add [tex]\( 3x \)[/tex] to both sides:
[tex]\[ y = 3x - 14 \][/tex]

Now, the equation is in the form [tex]\( y = g(x) \)[/tex], which represents the function in standard function notation.

Thus, we have:
[tex]\[ g(x) = 3x - 14 \][/tex]

Now, let's compare this with the choices given:

A. [tex]\( g(x) = 3x - 14 \)[/tex]

B. [tex]\( g(x) = -3x - 14 \)[/tex]

C. [tex]\( g(x) = 3x + 14 \)[/tex]

D. [tex]\( g(x) = -3x + 14 \)[/tex]

Clearly, the equation [tex]\( g(x) = 3x - 14 \)[/tex] matches option A.

Therefore, the correct answer is:

A. [tex]\( g(x) = 3x - 14 \)[/tex]
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