Question

Given the function g(x) = 4x − 5, compare and contrast g(2) and g(−4). Choose the statement that is true concerning these two values.

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

The given question is incomplete.

The complete question is as below

CORRECT QUESTION

Given the function g(x) = 4x − 5

compare and contrast g(2) and g(−4)

Choose the statement that is true concerning these two values

• The value of g(2) is larger than the value of g(−4)

• The value of g(2) is smaller than the value of g(−4)

• The value of g(2) is the same as the value of g(−4)

• The values of g(2) and g(−4) cannot be compared

CALCULATION

Here it is given that

$\sf{ g(x) = 4x - 5}\:$

Now

$\sf{ g(2) }$

$\sf{ = (4 \times 2) - 5 \: }$

$\sf{ = 8 - 5 \: }$

$\sf{ = 3\: }$

Again

$\sf{ g( - 4) \: }$

$\sf{ = \{ 4 \times (- 4) \} - 5\: }$

$\sf{ = - 16 - 5 \: }$

$\sf{ = - 21 \: }$

Now we compare between 3 & - 21

$\sf{ \because \: \: \: 3 > - 21 }$

$\sf{ \therefore \: \: \: g(2) > g( - 4) }$

Hence the correct option is

The value of g(2) is larger than the value of g(−4)

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If A, B and C are any three sets then prove

the following using venn-diagram

A∩(BUC) = (A∩B) U (A∩C)

https://brainly.in/question/23234089

Answer 2

Step-by-step explanation:

\displaystyle\huge\red{\underline{\underline{Solution}}}

Solution

The given question is incomplete.

The complete question is as below

CORRECT QUESTION

Given the function g(x) = 4x − 5

compare and contrast g(2) and g(−4)

Choose the statement that is true concerning these two values

The value of g(2) is larger than the value of g(−4)

The value of g(2) is smaller than the value of g(−4)

The value of g(2) is the same as the value of g(−4)

The values of g(2) and g(−4) cannot be compared

CALCULATION

Here it is given that

\sf{ g(x) = 4x - 5}\:g(x)=4x−5

Now

\sf{ g(2) }g(2)

\sf{ = (4 \times 2) - 5 \: }=(4×2)−5

\sf{ = 8 - 5 \: }=8−5

\sf{ = 3\: }=3

Again

\sf{ g( - 4) \: }g(−4)

\sf{ = \{ 4 \times (- 4) \} - 5\: }={4×(−4)}−5

\sf{ = - 16 - 5 \: }=−16−5

\sf{ = - 21 \: }=−21

Now we compare between 3 & - 21

\sf{ \because \: \: \: 3 > - 21 }∵3>−21

\sf{ \therefore \: \: \: g(2) > g( - 4) }∴g(2)>g(−4)

Hence the correct option is

The value of g(2) is larger than the value of g(−4)

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If A, B and C are any three sets then prove

the following using venn-diagram

A∩(BUC) = (A∩B) U (A∩C)

https://brainly.in/question/23234089