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larisa [96]
2 years ago
6

BRAINLIEST FOR RIGHT ANSWER!!

Mathematics
1 answer:
julsineya [31]2 years ago
5 0

Answer: {\boxed{h(x+4)=\frac{9+3x}{8+x}}}

Concept:

In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.

Solve:

<u>Given information</u>

h(x)=\frac{-3+3x}{4+x}

<u>Need to find</u>

h(x+4)

<u>Substitute (x + 4) to the position of x</u>

h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}

<u>Distributive property on the numerator</u>

h(x+4)=\frac{-3+3x+12}{4+(x+4)}

<u>Combine like terms</u>

h(x+4)=\frac{-3+12+3x}{4+4+x}

\boxed{h(x+4)=\frac{9+3x}{8+x}}

Hope this helps!! :)

Please let me know if you have any questions

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