3 years ago

Suppose f(x) = (5 – x)^3 and, g(x) = a + x^2, and f(g(x)) = (1 – x^2)^3. What is the value of a?

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

Answer:

a=4

Step-by-step explanation:

that's the answer . ask me if u don't get it

Basile [38]3 years ago

6 0

I think it’s gonna be a=4

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$\huge{\boxed{\tt{Solution:-}}}$

$\sf {4x-6=10x-3}$

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$\sf{(a.)\:x=\dfrac {-1}{2}}$

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$\sf{: \implies {4x - 6 = 10x - 3}} \\ \\ \sf{: \implies { - 6 + 3= 10x - 4x}} \\ \\ \sf{: \implies { - 3= 6x}} \\ \\ \sf{: \implies { \dfrac{- 3}{6} = x}} \\ \\ \sf{: \implies {\dfrac{- 1}{2} = x}} \\ \\ : \implies {\boxed{ \sf{x =\dfrac{- 1}{2}}}}$

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