Find and simplify the function (f +g) (10), given that f(x) = x + 4 and g(x) = x² +2.

116

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x) = x + 4 + x² + 2 = x² + x + 6

To evaluate (f + g)(10) substitute x = 10 into f(x) + g(x), that is

x² + x + 6 = 10² + 10 + 6 = 100 + 10 + 6 = 116

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.