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g(2)= 2/2-1 = 2/1 = 2
(f+g) (x) = f(x) + g(x) = 10 + 2 = 12
(f - g)(x) = f(x) - g(x) = 10-2 = 8
(f x g) (x) = f(x) . g(x) = 10 x 2 = 20
(f/g) (x) = f(x)/g(x) = 10/2 = 5
b. f(-1) = √(-1)² - 1 = √1-1 = √0 = 0
g(-1) = 2/-1 = -2
(f+g)(x) = f(x) + g(x) = 0 + (-2) = -2
(f-g)(x) = f(x) - g(x) = 0 - (-2) = 2
(fxg)(x) = f(x).g(x) = 0.(-2) = 0
(f/g)(x) = f(x)/g(x) = 0/-2 = 0
c. f(-1) = -1/-1-1 = -1/-2 = 1/2
g(-1) =√1+(-1)² = √1+1 = √2
(f+g)(x) = f(x) + g(x) = 1/2 + √2
(f-g)(x) = f(x) - g(x) = 1/2 - √2
(fxg)(x) = f(x).g(x) = 1/2.√2 = √2/2
(f/g)(x) = f(x)/g(x) = 1/2/√2 = 1/2√2 .= √2/4
6. f²(x) = {f(x)}²
= {}²
=
g³(x) = {g(x)}³
= (x² - 2x - 4)(x² -2x -4) (x² - 2x -4)
= ( - 2x³ - 4x² -2x³ + 4x² +8x - 4x² + 8x + 16) (x²-2x-4)
= ( - 4x³ - 4x² +16x + 16) (x²-2x-4)
= - 64x + 16x² -32x - 64
=
f²(x) + g³(x) = {f(x)}² + {g(x)}³
f²(x) - g³(x) = {f(x)}² - {g(x)}³
f²(x) . g³(x) = {f(x)}² . {g(x)}³
sisanya lanjutkan sendiri yah.. :v