Answer::
[tex]\frac{1-d}{d^2+7}[/tex]
Explanation:
Given f(x) and g(x) below:
[tex]\begin{gathered} f(x)=x^2+7 \\ g(x)=-x+1 \end{gathered}[/tex]
We want to evaluate g(d)/f(d).
To find expressions for f(d) and g(d), replace x with d in each of the functions.
[tex]\begin{gathered} f(d)=d^2+7 \\ g(d)=-d+1 \end{gathered}[/tex]
Next, find the quotient g(d)/f(d):
[tex]\frac{g(d)}{f(d)}=\frac{-d+1}{d^2+7}[/tex]
The required expression is:
[tex]\frac{1-d}{d^2+7}[/tex]
