Question

Let f(x) = -2x+4 and g(x) = -6x -7

a) find f(x) x g(x)
b) find f(g(4))

Answer 1

a) To find f(x) x g(x), we need to multiply the two functions:

f(x) x g(x) = (-2x + 4) x (-6x - 7)

Expanding the product, we get:

f(x) x g(x) = 12x^2 + 26x - 28

So f(x) x g(x) = 12x^2 + 26x - 28.

b) To find f(g(4)), we need to first evaluate g(4):

g(4) = -6(4) - 7

g(4) = -31

Then we can substitute this value into the expression for f(x):

f(g(4)) = f(-31)

Using the expression for f(x), we get:

f(g(4)) = -2(-31) + 4

f(g(4)) = 66

So f(g(4)) = 66.