Evaluate the indicated function for fx x2 3 and gx x 4 f

Evaluate the indicated function for f(x) = x^2 + 3 and g(x) = x - 4. (f + g)(3) (f + g)(3) = Evaluate the indicated function for f(x) = x^2 - 1 and g(x) = x - 6. (f - g)(-6) (f - g)(-6) = Evaluate the indicated function for f(x) = x^2 + 2 and g(x) = x - 4. (f - g)(0) (f - g)(0) = Evaluate the indicated function for f(x) = x^2 + 1 and g(x) = x - 9. (f + g)(7) (f + g)(7) = Evaluate the indicated function for f(x) = x^2 + 1 and g(x) = x - 6. (f - g)(2t) (f g)(2t) = Evaluate the indicated function for f(x) = x^2 + 4 and g(x) = x - 3. (fg)(5) (fg)(5) = Evaluate the indicated function for f(x) = 4x^2 + 1 and g(x) = x - 3. (fg)(-4) (fg)(-4) =

Solution

1) f(x) = x^2 + 3

g(x) = x - 6

(f+g)(x) = f(x) + g(x) = x^2 +3 +x - 6 = x^2 +x - 3

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

2) f(x) = x^2 -1

g(x) = x-6

(f-g)(x) = f(x) - g(x) = x^2-1-x+6 = x^2-x+5

(f-g)(-6) = (-6)^2-(-6)+5 = 47

3) f(x) = x^2 + 2

g(x) = x-4

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

(f-g)(0) = 6

4) f(x) = x^2 + 1

g(x) = x-9

(f+g)(x) = f(x) + g(x) = x^2 +1 +x -9 = x^2 +x -8

(f+g)(7) = 7^2 +7 - 8 = 48