Question

For the following functions find(f•g)(-2)?

Answer 1

-32

Explanation:

To find the product of two functions, (f * g)(x), we need to first compute f(x) and g(x) individually, and then multiply them together. In this case, we have:

f(x) = 2x^2 - 7x + 10

g(x) = 3x + 5

Let's start by evaluating f(x) and g(x) at x = -2:

f(-2) = 2 * (-2)^2 - 7 * (-2) + 10

= 2 * 4 + 14 + 10

= 8 + 14 + 10

= 32

g(-2) = 3 * (-2) + 5

= -6 + 5

= -1

Now, we can find the product (f * g)(x) by multiplying f(x) and g(x):

(f * g)(x) = f(x) * g(x)

(f * g)(-2) = f(-2) * g(-2)

= 32 * (-1)

= -32

So, the value of (f * g)(-2) is -32.