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Please help me with this math question.

Please help me with this math question.-example-1
User Mike Jr
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I hope this helped u
Please help me with this math question.-example-1
User Satya Tanwar
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Answer:


\sf (g \circ h)(x) = (24x + 79)/(3x + 14)

Explanation:

Given:


  • \sf g(x) =(8x-1)/(x+4)
  • h(x)=3x+10

To find:

  • (goh) (x)= ?

Solution:

In terms of x to find
\sf g \circ h)(x), which means applying g to h(x).

substitute h(x) into g(x).


\sf (g \circ h)(x) = g(h(x)) = g(3x+4)

Now plug in 3x+4 into (g(x)


\sf (g \circ h)(x) = (8(3x+10) - 1)/(3x+10 + 4)

Simplify the numerator and denominator:


\sf (g \circ h)(x) = (24x + 80 - 1)/(3x + 14)


\sf (g \circ h)(x) = (24x + 79)/(3x + 14)

So,
\sf (g \circ h)(x) = (24x + 79)/(3x + 14) in terms of x.

User Bubletan
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