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