Answered

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The functions [tex]$f$[/tex] and [tex]$g$[/tex] are defined as follows:

[tex]\[ f(x) = 2x + 4 \][/tex]
[tex]\[ g(x) = 2x^3 + 6 \][/tex]

Find [tex]$f(-6)$[/tex] and [tex]$g(-4)$[/tex].

Simplify your answers as much as possible.

[tex]\[ f(-6) = \][/tex]
[tex]\[ \square \][/tex]

[tex]\[ g(-4) = \][/tex]
[tex]\[ \square \][/tex]

Sagot :

GinnyAnswer
To find [tex]\( f(-6) \)[/tex] and [tex]\( g(-4) \)[/tex] using the given functions, we will substitute the values of [tex]\( x \)[/tex] into each function.

First, let's find [tex]\( f(-6) \)[/tex] given [tex]\( f(x) = 2x + 4 \)[/tex]:

[tex]\[ f(-6) = 2(-6) + 4 \][/tex]

Now, let's simplify:

[tex]\[ f(-6) = -12 + 4 \][/tex]

[tex]\[ f(-6) = -8 \][/tex]

So, we have:

[tex]\[ f(-6) = -8 \][/tex]

Next, let's find [tex]\( g(-4) \)[/tex] given [tex]\( g(x) = 2x^3 + 6 \)[/tex]:

[tex]\[ g(-4) = 2(-4)^3 + 6 \][/tex]

Now, let's simplify:

[tex]\[ (-4)^3 = -64 \][/tex]

[tex]\[ g(-4) = 2(-64) + 6 \][/tex]

[tex]\[ g(-4) = -128 + 6 \][/tex]

[tex]\[ g(-4) = -122 \][/tex]

So, we have:

[tex]\[ g(-4) = -122 \][/tex]

Thus, the simplified answers are:

[tex]\[ f(-6) = -8 \][/tex]

[tex]\[ g(-4) = -122 \][/tex]
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