contestada

Please Help!!!!!!!

Given that f(x) = 4x +1 and g(x) = x^2 -2,

which of the following is an expression for f(g(x))?

a. 16x^2 + 8x - 1
b. x^2 + 4x - 1
c. 5x^2 - 1
d. 4x^2 - 7

Respuesta :

kudzordzifrancis

Answer:

d. [tex]4x^2-7[/tex]

Step-by-step explanation:

The given functions are

[tex]f(x)=4x+1[/tex] and [tex]g(x)=x^2-2[/tex]

We want to find the composition of the f and g.

[tex]f(g(x))=f(x^2-2)[/tex]

We substitute [tex]x^2-2[/tex] into [tex]f(x)=4x+1[/tex] to obtain;

[tex]f(g(x))=4(x^2-2)+1[/tex]

This simplifies to;

[tex]f(g(x))=4x^2-8+1[/tex]

[tex]f(g(x))=4x^2-7[/tex]

Hence the correct choice is d.

Otras preguntas