6. h(t) = 2t+1g(t) = 2t+2Find (h+g)(t)7. f(x) = 2x+4g(x) = x+3Find (f-g)(x)8. g(a)=-3a-3f(a) = a² +5Find (g-f)(a)9. f(x)=4x-3g(x) = x³ +2xFind (f-g)(4)10. h(x)=3x+3g(x)=-4x+1Find (h+g)(-2)
Answer (1)
6. Find (h+g)(t) - Step 1: Add the two functions h(t) and g(t) together.(h+g)(t) = h(t) + g(t) = (2t+1) + (2t+2)- Step 2: Combine like terms.(h+g)(t) = 2t + 2t + 1 + 2 = 4t + 3- Answer: (h+g)(t) = 4t + 3 7. Find (f-g)(x) - Step 1: Subtract the function g(x) from f(x).(f-g)(x) = f(x) - g(x) = (2x+4) - (x+3)- Step 2: Combine like terms.(f-g)(x) = 2x - x + 4 - 3 = x + 1- Answer: (f-g)(x) = x + 1 8. Find (g-f)(a) - Step 1: Subtract the function f(a) from g(a).(g-f)(a) = g(a) - f(a) = (-3a-3) - (a² + 5)- Step 2: Combine like terms.(g-f)(a) = -3a - a² - 3 - 5 = -a² - 3a - 8- Answer: (g-f)(a) = -a² - 3a - 8 9. Find (f-g)(4) - Step 1: Subtract the function g(x) from f(x).(f-g)(x) = f(x) - g(x) = (4x-3) - (x³ + 2x)- Step 2: Combine like terms.(f-g)(x) = 4x - x³ - 2x - 3 = -x³ + 2x - 3- Step 3: Substitute x = 4 into the result from Step 2.(f-g)(4) = -4³ + 2(4) - 3 = -64 + 8 - 3 = -59- Answer: (f-g)(4) = -59 10. Find (h+g)(-2) - Step 1: Add the two functions h(x) and g(x) together.(h+g)(x) = h(x) + g(x) = (3x+3) + (-4x+1)- Step 2: Combine like terms.(h+g)(x) = 3x - 4x + 3 + 1 = -x + 4- Step 3: Substitute x = -2 into the result from Step 2.(h+g)(-2) = -(-2) + 4 = 2 + 4 = 6- Answer: (h+g)(-2) = 6 check mo nalang beh if malii..goodluck stay safe <3 #LendAHand
