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3 months ago

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

Mathematics

1 answer:

Svet_ta [12.7K]3 months ago

5 0

$h(f(x))$ ⇒ $x$

Detailed breakdown:

In math, an inverse function acts as a "reverse" to another function: if f applied to x yields y, then g applied to y gives back x, meaning f(x) = y if and only if g = x.

In this case, we define h(x) as the inverse of f(x). We need to discover the value of h(f(x)). Let's explore this:

Let the inverse of $f(x)$ = $f^{-1}(x)$ , but as per the question, it corresponds to h(x) or $h(x) = f^{-1}(x)$ . Now,

$h(f(x))$

⇒ $h(f(x))$

By substituting f(x) into x at h(x), i.e. $h(x) = f^{-1}(x)$

⇒ $f^{-1}(f(x))$

The multiplication of $f^{-1}$ and $f$ equals 1,

⇒ $x$

Thus, $h(f(x))$ ⇒ $x$ .

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Answer:

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Step-by-step explanation:

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2 months ago

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

Svet_ta [12734]

Answer:

The parametrization of the specified curve is $x = 10 cos(t) \ \,z = 10 sin(t)$

Step-by-step explanation:

From the provided problem statement, we derive the function

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$x^2 + 5^2 +z^2 =125$

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Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)

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