Lesson 8.1 Composite Functions

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

 $f\left(x\right)\ =\ x^2+3$  

 $g\left(x\right)\ =\ \sqrt{x-5}$  

Find f(g(x))

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 $f\left(x\right)\ =\ \frac{1}{x}$  
 $g\left(x\right)\ =\ x^2+3x-4$  

Find (g(f(x))

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OFF

• 6x² - 1
• 6x - 3
• 5x - 1
• 6x² - 3x

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1