Q. For a given input value b, the function f outputs a value a to satisfy the following equation.4a+7b=−52Write a formula for f(b) in terms of b.f(b)=□
Given Equation: We are given the equation 4a+7b=−52 and need to solve for a in terms of b to find the function f(b).
Isolate 4a: First, we isolate the term 4a by subtracting 7b from both sides of the equation.4a+7b−7b=−52−7bThis simplifies to:4a=−52−7b
Divide by 4: Next, we divide both sides of the equation by 4 to solve for a.a=4−52−7b
Function f(b): Now we have expressed a in terms of b, which gives us the function f(b).f(b)=4−52−7b
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