Question

Operations with functions:

-Given f(x)x+6 and g(x)x^2+7x+6

-Find (f÷g)(x)

(Would love if you can show step by step, thank u)

Answer 1

Answer:
`\bold{(1)/(x+1)}`

Explanation:

`\underline{f(x)}: \underline{\quad x+6\qquad}\\g(x):x^2+7x+6\\\\\\\text{Factor the denominator}:\\\underline{f(x)}: \underline{\quad x+6\qquad}\\g(x):(x+6)(x+1)\\\\\\\text{cancel out the common factor (x+6)}:\\\underline{f(x)}: \underline{\quad 1\quad}\\g(x):\ x+1\\`