Question

Please help me with this math question.

Answer 1

I hope this helped u

Answer 2

`\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.