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Use the following function rule to find g(b+2) g(b + 2) . \newlineSimplify your answer. \newlineg(a)=4a+8 g(a) = 4a + 8 g(b+2)= g(b + 2) = ______

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Q. Use the following function rule to find g(b+2) g(b + 2) . \newlineSimplify your answer. \newlineg(a)=4a+8 g(a) = 4a + 8 g(b+2)= g(b + 2) = ______
  1. Identify Function Rule and Input: Identify the function rule and the input value.\newlineThe function rule given is g(a)=4a+8g(a) = 4a + 8, and we need to find the value of g(b+2)g(b + 2).
  2. Substitute Input into Rule: Substitute the input value into the function rule.\newlineWe replace aa with (b+2)(b + 2) in the function rule to find g(b+2)g(b + 2).\newlineSo, g(b+2)=4(b+2)+8g(b + 2) = 4(b + 2) + 8.
  3. Distribute and Multiply: Distribute the 44 across the terms inside the parentheses.g(b+2)=4×b+4×2+8.g(b + 2) = 4 \times b + 4 \times 2 + 8.
  4. Simplify Expression: Simplify the expression by performing the multiplication. g(b+2)=4b+8+8g(b + 2) = 4b + 8 + 8.
  5. Combine Like Terms: Combine like terms to find the simplified expression for g(b+2)g(b + 2).g(b+2)=4b+16g(b + 2) = 4b + 16.

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