Question

For f(x) = 4x+1 and g(x) = x^2 -5, find (fxg)(x)

Answer 1

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$\huge\underline{\tt{\red{Problem:}}}$

$\quad\quad\quad\quad\tt{f(x) = 4x + 1} \: and \: g(x) = {x}^{2} - 5$

$\huge\underline{\tt{\red{Fomula:}}}$

$\quad\quad\quad\quad\huge\tt{( \: f \: • \: g \: )}$

$\huge\underline{\tt{\red{Solution:}}}$

$\quad\quad\quad\quad\tt{(f \:•\: g)(x) = (4x + 1} \: ) ( {x}^{2} - 5)$

Step by step first:

$\quad\tt{ ⟶ { 4x \times {x}^{2} = \boxed{4 {x}^{3}}} }$

$\quad\tt{ ⟶ { 1 \times {x}^{2} = \boxed{{x}^{2}}} }$

$\quad\tt{ ⟶ { 4x \times ( - 5) = \boxed{ - 20x}} }$

$\quad\tt{ ⟶ { 1 \times ( - 5) = \boxed{ - 5}} }$

It will look like this:

$\quad\quad\quad\quad\tt{(f \:•\: g)(x) = (4 {x}^{3} + {x}^{2} - 20x - 5 )}$

$\huge\underline{\tt{\red{Answer:}}}$

$\quad\quad \underline{ \boxed{\tt{ \red{(f \:•\: g)(x) = 4 {x}^{3} + {x}^{2} - 20x - 5 }}}}$

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✍︎ C.Rose❀