Question

Let f(x) = 2x + 5 and g(x) = x^2 - 3x + 2

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

f(x) = 2x + 5

To solve letter a, just multiply each term of f(x) by 3 and subtract 2.

a) 3f(x) - 2 = 3(2x + 5) - 2

                 = 6x + 15 - 2

               = 6x + 13

To f(x) subtract twice g(x)

b) f(x) - 2g(x) = 2x + 5 - 2(x² - 3x + 2)

                    = 2x + 5 - 2x² + 6x - 4

                    = -2x² + 8x + 1

Multiply 5 by each term of f(x) and divide it by g(x)

c)      $\frac{5f(x)}{g(x)} = \frac{5(2x + 5)}{x^{2} - 3x + 2}$  

                = $\frac{10x + 25}{x^{2}-3x + 2}$