Mathematics: Can someone help me solve this ?

Can someone help me solve this ? - id5614798, HelloDarknessMyOldFr

mchillery1028

21.01.2022

f(g(x))=x^2+4x+3

Solution:

Given data:

$f(x)=x^{2}-1$

g(x)=x+2

To find f(g(x)):

Substitute g(x) into the function f(x).

f(g(x))=f(x+2)

f(g(x))=(x+2)^2-1

Apply algebraic rule:

$(a+b)^{2}=a^{2}+2 a b+b^{2}$

$f(g(x))=x^2+2\times 2x+2^2-1$

f(g(x))=x^2+4x+4-1

f(g(x))=x^2+4x+3

Therefore, f(g(x))=x^2+4x+3 .

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Dashavu7165

20.06.2020

A. 8 miles

B. 6 miles because 3/4 of 8 is 6

C. 10 miles

Step-by-step explanation:

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