Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3. a. -91 b. -33 c. -25 d. 35

asked Dec 25, 2016 182k views

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Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

a. -91
b. -33
c. -25
d. 35

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$f(x)=2x+1 \\ g(x)=-5x+2 \\ \\ f(g(x))=2(-5x+2)+1=-10x+4+1=-10x+5 \\ f(g(3))=-10 * 3+5=-30+5=-25 \\ \boxed{f(g(3))=-25}$

The answer is C.

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