Subjects algebra

Evaluate G Function

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1. **Problem Statement:** Given the function $g(t) = t + 5t - 1$, evaluate (a) $g(5)$ and (b) $g(2s - 5)$. 2. **Simplify the function:** Combine like terms in $g(t)$. Since $t + 5t = 6t$, the function simplifies to: $$g(t) = 6t - 1$$ 3. **Evaluate (a) $g(5)$:** Substitute $t = 5$ into the simplified function: $$g(5) = 6(5) - 1 = 30 - 1 = 29$$ 4. **Evaluate (b) $g(2s - 5)$:** Substitute $t = 2s - 5$ into the simplified function: $$g(2s - 5) = 6(2s - 5) - 1 = 12s - 30 - 1 = 12s - 31$$ **Final answers:** - (a) $g(5) = 29$ - (b) $g(2s - 5) = 12s - 31$