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2 years ago

If h(x) is the inverse of f(x), what is the value of h(f(x))?.

2 answers:

7 0

To answer the question above, make use of one of the definitions of the inverse functions. If h(x) and f(x) are inverses of each other, then applying the operation, h(f(x)) will give back the value of the initial value. Therefore, the answer is x.

nikklg [1K]2 years ago

5 0

Answer:

Step-by-step explanation:

Given that h(x) is inverse of f(x0)

As per definition of inverse functions we find that always

f*f inverse = f inverse * f = I = identity function x

Hence here also since h is given to inverse of f we will get composition of functions h and f giving answer as x.

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$y= 7(x+5)^2 -4$

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By direct comparison we see that for this case:

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Step-by-step explanation:

For this case we have the following function:

$y= 7(x+5)^2 -4$

And we need to take in count that the vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

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Step-by-step explanation:

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