Given the function f(x) = (2x – 8)3 + 15, what is f(a + 4) ?
Question
Given the function f(x) = (2x – 8)3 + 15, what is f(a + 4) ?
Solution
To find f(a + 4), we substitute (a + 4) for x in the function f(x) = (2x – 8)³ + 15.
Step 1: Substitute (a + 4) for x in the function
f(a + 4) = 2(a + 4) - 8
Step 2: Simplify the expression inside the parentheses
f(a + 4) = 2a + 8 - 8
Step 3: Simplify further
f(a + 4) = 2a
Step 4: Substitute 2a back into the original function
f(a + 4) = (2a)³ + 15
Step 5: Simplify the expression
f(a + 4) = 8a³ + 15
So, f(a + 4) = 8a³ + 15.
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