danielahchf
Answered

Use the function to answer the question.

f(x) = 4x - 1; g(x) = 5x^2

What is equal to (f o g)(x)?

80x^2 - 40x + 5

20x^3 - 5x^2

5x^2 + 4x - 1

20x^2 - 1

Answer :

altavistard

Answer:

20x^2 - 1 (fourth possible answer is the correct one)

Step-by-step explanation:

To obtain (f o g)(x), use function g(x) as the input (x) to f(x), as follows:

f(x) = 4x - 1  becomes f(g(x)) = 4g(x) - 1.

But g(x) = 5x^2, so we get:

                                    f(g(x)) = 4(5x^2) - 1

and this simplifies to:    f(g(x)) = 20x^2 - 1

                                   

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