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Crazy boy [7]
2 years ago
15

Let f(x) = x2 + x + 2 and g(x) = 2x + 5. Find f(g(x)). Show each step of your work. (10 points)

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

We were given;

f(x) = x² + x + 2


and

g(x) = 2x + 5


f(g(x)) = f(2x+5)

= (2x+5)²+(2x+5)+2

Expanding brackets gives;

=(2x)²+2(2x)(5) +5²+(2x+5)+2

Simplifying gives;

= 4x² +20x+25+ 2x+5+2

f(g(x))= 4x² +22x +32

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