How do you find f(g(4)) if f(x)=2sqrt(x+3) and g(x)=-3x+1?

1 Answer
mason m
Dec 24, 2015

f(g(4))=4isqrt2

Explanation:

First, find g(4). Then, plug that value into f(x).

Find g(4):

color(white)(xxxxxxx)g(4)=-3(4)+1
color(white)(xxxxxxx)g(4)=-11

Find f(g(4)), which is equivalent to f(-11):

color(white)(xxxxxxx)f(-11)=2sqrt(-11+3)
color(white)(xxxxxxx)f(-11)=2sqrt(-8)
color(white)(xxxxxxx)f(-11)=2*2isqrt(2)
color(white)(xxxxxxx)f(-11)=4isqrt2

Thus,

color(white)(xxxxxxx)f(g(4))=4isqrt2

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