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category: homework current score: 19.8/43 points current learning objec…

Question

category: homework current score: 19.8/43 points current learning objective: finding input and output values of a question 24 practice similar questions score: 0 of 1 point when $f(x) = 4x^2 + 6x - 5$, evaluate $f(-3)$ $f(-3) = $ enter your answer

Explanation:

Step1: Substitute \(x = - 3\) into the function

Substitute \(x=-3\) into \(f(x)=4x^{2}+6x - 5\), we get \(f(-3)=4\times(-3)^{2}+6\times(-3)-5\)

Step2: Calculate the power

Calculate \((-3)^{2}=9\), then the expression becomes \(f(-3)=4\times9+6\times(-3)-5\)

Step3: Calculate the multiplications

Calculate \(4\times9 = 36\) and \(6\times(-3)=-18\), so \(f(-3)=36-18 - 5\)

Step4: Calculate the subtractions

\(36-18=18\), then \(18-5 = 13\)

Answer:

\(13\)