Question

Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)

Answer 1

simply put g(x) in place of x in f(x)

Answer 2

Answer:

f(x)*g(x) = (tan(x) - 2/x)(x² + 8)                    

Apply FOIL in multiplying binomials.

Multiply the First terms, next is the Outer terms, then the Inner terms, and lastly, the Last terms = tan(x³) + 8 tan(x) - 2x²/x - 2(8)/x.

Simplifying we get = tan(x³) + 8 tan(x) - 2x - 16/x

Now Multiplying it by x to remove the variable in the denominator and we get

 = (tan(x³) + 8 tan(x) - 2x - 16/x) x = tan(x⁴) + 8 tan(x²) - 2x² - 16x/x.

Simplifying again, we get = tan(x⁴) + 8 tan(x²) - 2x² - 16