# Given f(x)=(x=2)/3, and g(x)=2x^2-4 find a formula for the following:a. (f+ g)(x) b. (f/g)(x) c. (f◦g)(x) d. (g◦f)(x)

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Student Comments

neela | Student

f(x)=(x-2)/3 and g(x) =2x^2-4

To find:

**a.** (f+ g)(x) = f(x)+g(x) = (x-2)/3 + 2x^2-4 = (6x^2+x-14)/3

**b.** (f/g)(x) **= f(x)/g(x) = [**(x-2)/3]/[2x^2-4 ] = (x-2)/{6(x^2-2)}

**c.** (f*g)(x) = f(x)*g(x) = (x-2)(2x^2-4)/3

**d.** (f-g)(x) = f(x) -g(x) = (x-2)/3 -(2x^2-4) =(x-2-6x^2+12)/3 = (10+x-6x^2)/3