Question

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

Answer 1

`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`