Question

!!!!!!!!!!!!Please help!!!!!!!!!!!!!!

Answer 1

Answer:

The answer to your question is a) (f°g)(x) = 4x² + 2

                                                    b) (f + g)(x) = 4x² + x + 2

                                                    c) (f - g)(-3) = -37

Step-by-step explanation:

Data

f(x) = x + 2

g(x) = 4x²

a) Calculate (f°g)(x)

Just sum the function

(f°g)(x) = (4x²) + 2

-Simplification

(f°g)(x) = 4x² + 2

b) (f + g)(x)

(f + g)(x) = x + 2 + 4x²

-Simplification

(f + g)(x) = 4x² + x + 2

c) (f - g)(-3)

-Calculate (f - g)(x)

(f - g)(x) = x + 2 - 4x²

-Simplify

(f - g)(x) = -4x² + x + 2

-Evaluate in (-3)

(f - g)(-3) = -(4)(-3)² + (-3) + 2

-Simplification

(f - g)(-3) = -4(9) - 3 + 2

-Result

(f - g)(-3) = -36 - 3 + 2

(f - g)(-3) = -37