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Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.

User Sarita
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1 Answer

4 votes

Answer:


f\left(5\right) = 43

Explanation:

Given


f\left(x\right)=5x+2\mid11-5x\mid-4

Required

Solve for x = -5

This implies that we substitute -5 for x in
f\left(x\right)=5x+2\mid11-5x\mid-4


f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4

Open all brackets


f\left(5\right) = -25+2\mid11+25\mid-4


f\left(5\right) = -25+2\mid36\mid-4

Absolute value of 36 is 36; Wo, we have:


f\left(5\right) = -25+2*36-4


f\left(5\right) = -25+72-4


f\left(5\right) = 43

User Zaki Choudhury
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