5. Use the functions to answer the question.

f(x) = 4x – 1; g(x) = 5x^2

Which is equal to (f circle g) (x)? (Points : 4)
80x^2 – 40x + 5
20x^3 – 5x^2
5x^2 + 4x – 1
20x^2 – 1

Question

5. Use the functions to answer the question. 

f(x) = 4x – 1; g(x) = 5x^2 

 Which is equal to (f circle g) (x)? (Points : 4) 
 80x^2 – 40x + 5 
 20x^3 – 5x^2
 5x^2 + 4x – 1 
 20x^2 – 1

anonymous · Answer

$$f\circ g(x)$$ means 
$$f(g(x))$$

anonymous · Answer

step one is to write 
$$f\circ g(x)=f(g(x))=f(5x^2)$$

anonymous · Answer

then since 
$$f(\diamondsuit)=4\diamondsuit -1$$ you have 
$$f(5x^2)=4\times 5x^2-1$$