The function f is defined by f(x)=2x^2+12x+11 for x<=-4?

The function g is defined by g(x)=2x-3 for x<=k

State the largest value of k possible for the composition fg to be defined

fg(x)=8x^2-7

How to solve this question?

Thanks

1 Answer

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  • 3 months ago
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    f(g(x)) means to put the function g into f

    so, g(x) is the domain for f(g(x))

    For, f(x) we have that x ≤ -4

    Hence, 2x - 3 ≤ -4

    i.e. 2x ≤ -1

    so, x ≤ -1/2

    Greatest value x = -1/2

    :)> 

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