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Verified answer
Jawaba.
f(x) = 2x² + 3x - 5
g(x) = 3x-2
fog(x) = f{ g(x)}
= f{3x -2}
= 2(3x - 2)² + 3(3x - 2) - 5
= 2(9x² - 12x + 4) + 9x - 6 - 5
= 18x² - 24x + 8 + 9x - 11
= 18x² - 15x - 3
gof(x)= g {f(x)}
= g(2x²+ 3x - 5)
= 3(2x² + 3x - 5)
= 6x² + 9x - 15
c)
f(x) = 2x + 5
g(x) = (x -1)/(x + 4)
fog(x) = f{ g(x)}
= f { (x-1)/(x+4) }
= 2 (x-1)/(x+4) + 5
= { 2(x -1) + 5(x + 4) }/(x + 4)
= (2x - 2 + 5x +20) / (x + 4)
= (7x + 18)/(x + 4)
gof(x) = g { f(x) }
= g {2x+ 5)
= { 2x + 5 - 1 } / {2x+ 5 - 4}
= (2x + 4)/(2x+ 1)