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Serggg [28]
3 years ago
12

If ƒ (x ) = 4x - 3, what is ƒ (x )-1?

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
F(x)^-1 is asking for the inverse function of f(x).
The first step to finding the inverse is:
1) change f(x) to y
2) switch x and y
3) resolve the equation for y =

f(x) = 4x - 3
y = 4x - 3
x = 4y - 3
add 3 to both sides
x + 3 = 4y
divide both sides by 4
(x + 3)/4 = y
y = (x + 3)/4
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12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
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The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

Given, expression is 12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

We have to factorize the given expression completely.

Now, take the expression

12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

Taking b^2 as common term,

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Taking "a" as common term,

b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)

Taking "6" as common term,

b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)

Splitting "3a" as "4a - a" we get,

b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)

\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}

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4 0
3 years ago
I need help please please please
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