Algebra, Trig Given f (x) = -3x + 2 and g (x) = 2x + 9: find (g 0 f)(x)

(g 0 f)(x) = 2(-3x + 2) + 9 = -6x + 4 + 9 = -6x + 13

(g 0 f)(x) = -6x + 13.

Given f (x) = 5x + 7 and g (x) = 5x -- 1: find (f 0 g)(x)

(f 0 g)(x) = 5(5x -- 1) + 7 = 25x -- 5 + 7 = 25x +

(f 0 g)(x) = 25x + 2.

Given f (x) = 5x + 4 and g (x) = 3x -- 8, find fg = f (x) * g (x) = (5x + 4)(3x -- 8) = 15x^2 -- 40x + 12x --...

32 = 15x^2 -- 28x --
fg = 15x^2 -- 28x -- 32.

Given f (x) = 2 -- 2x and g (x) = -6x + 2, find f + g f + g = f (x) + g (x) = (2 -- 2x) + (-6x + 2) = 2 -- 2x -- 6x + 2 = -8x +

f + g = -8x + 4.

Find the center and the radius of a circle, given the following equation of the circle: x^2 + y^2 + 100

The standard equation of a circle is the following: (x -- h)^2 + (y -- k)^2 = r^2, where the center is (h, k).…