QuestionAugust 25, 2025

15) g(t)=4t+4 f(t)=t^2+2t Find (g-f)(8)

15) g(t)=4t+4 f(t)=t^2+2t Find (g-f)(8)
15) g(t)=4t+4 f(t)=t^2+2t Find (g-f)(8)

Solution
4.7(224 votes)

Answer

-44 Explanation 1. Calculate g(8) Substitute t = 8 into g(t) = 4t + 4: g(8) = 4(8) + 4 = 32 + 4 = 36. 2. Calculate f(8) Substitute t = 8 into f(t) = t^2 + 2t: f(8) = 8^2 + 2(8) = 64 + 16 = 80. 3. Compute (g-f)(8) Subtract f(8) from g(8): (g-f)(8) = g(8) - f(8) = 36 - 80 = -44.

Explanation

1. Calculate $g(8)$<br /> Substitute $t = 8$ into $g(t) = 4t + 4$: $g(8) = 4(8) + 4 = 32 + 4 = 36$.<br /><br />2. Calculate $f(8)$<br /> Substitute $t = 8$ into $f(t) = t^2 + 2t$: $f(8) = 8^2 + 2(8) = 64 + 16 = 80$.<br /><br />3. Compute $(g-f)(8)$<br /> Subtract $f(8)$ from $g(8)$: $(g-f)(8) = g(8) - f(8) = 36 - 80 = -44$.
Click to rate:

Similar Questions