Question

10) The product of the minimum value of the function f(x) =52] + 8 and the maximum value of the function g(x) = 12 - 2 + 5| is​

Answer 1

Min of f(x) = 8

Max of g(x) = 11

Product is 11×8=88 ans!

Answer 2

SOLUTION

TO DETERMINE

The product of the minimum value of the function f(x) = 5| x | + 8 and the maximum value of the function g(x) = 12 − | x + 5 |

EVALUATION

We know that minimum value of a modulus function is 0

Now for the function f(x) = 5| x | + 8

f(x) is minimum when | x | is minimum

So minimum value of f(x) = 0 + 8 = 8

Again for the function g(x) = 12 − | x + 5 |

g(x) is maximum when | x + 5 | is minimum

So maximum value of g(x) = 12 - 0 = 12

Hence the required product

= 8 × 12

= 96

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