Question

Given the function g below, which statement correctly compares the values of g(4) and g(5)?

g(x) = 8x - 3

Answer 1

Hello!

Answer:

`\Large \boxed{\sf g(4) < g(5)}`

Explanation:

We want to compare the values of g(4) and g(5) with the function g(x).

Let's calculate g(4) and g(5) by replacing x by 4 then 5 to compare them:

`\sf g(4) = 8 * 4 - 3 = 32 - 3 = 29`

`\sf g(5) = 8 * 5 - 3 = 40 - 3 = 37`

Therefore:

`\sf 29 < 37 ~~~~ ~~~so~~~~~~~\boxed{\sf g(4) < g(5)}`

Answer 2

Hello !

Answer:

`\Large\boxed{\sf g(4) < g(5)}`

Explanation:

Given :

`\sf g(x)=8x-3`

Let's evaluate the function g at 4 and 5 to compare the values g(4) and g(5).

- g(4) :

Replace x with 4 in the expression :

`\begin{aligned}\\\sf g(4)&=8* 4 -3\\&=32-3\\&=29\end{aligned}`

- g(5) :

Replace x with 5 in the expression :

`\begin{aligned}\\\sf g(5)&=8* 5 -3\\&=40-3\\&=37\end{aligned}`

We have 29 < 37, so g(4) < g(5).

Have a nice day ;)