christavarez30 christavarez30
  • 03-03-2020
  • Mathematics
contestada

2) f(x) = x² **
g(x)= 3x – 2
Find f(g(-4)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-03-2020

Answer:

[tex]f(g( - 4)) = 196[/tex]

Step-by-step explanation:

The functions are;

[tex]f(x) = {x}^{2} [/tex]

and

[tex]g(x) = 3x - 2[/tex]

We want to find

[tex]f(g( - 4))[/tex]

First we find g(-4) to get:

[tex]g( - 4) = 3 \times - 4 - 2[/tex]

[tex]g( - 4) = - 12- 2[/tex]

[tex]g( - 4) = - 14[/tex]

Now

[tex]f(g( - 4)) = f( - 14)[/tex]

This implies that,

[tex]f(g( - 4)) = {( - 14)}^{2} [/tex]

[tex]f(g( - 4)) = {( - 14)} \times - 14[/tex]

[tex]f(g( - 4)) = 196[/tex]

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