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Let h(x)=|k x+5|,t h edom a inoff(x)b e[...

Let `h(x)=|k x+5|,t h edom a inoff(x)b e[-5,7],` the domain of `f(h(xx))b e[-6,1],a n dt h er a ngeofh(x)b et h es a m ea st h edom a inoff(x)dot` Then the value of `k` is. 1 (b) 2 (c) 3 (d) 4

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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