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Let h(x)=|k x+5|,the domain of f(x) be [...

Let `h(x)=|k x+5|`,the domain of f(x) be [-5,7], the domain of f(h(xx)) be [-6,1],and the range of h(x) be the same as the domain of f(x) Then the value of `k` is.

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
`-5 le |kx +5| le 7`
` or -12 le kx le 2 " where " -6 le x le 1`
` or -6 le (k)/(2) x le 1 " where " -6 le x le 1`
` :. K=2 " "[ :' "range of "h(x)="domain of " f(x)]`
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