Question

7. Use the pair of functions to find the value of each of the following combinations of functions

Answer 1

Given:

$\begin{gathered} f(x)=x^2 \\ \\ g(x)=\frac{9}{-8x+5} \end{gathered}$

Required:

To find (f-g)(-10).

Explanation:

Consider

$\begin{gathered} (f-g)(x)=x^2-\frac{9}{-8x+5} \\ \\ (f-g)(-10)=(-10)^2-\frac{9}{-8(-10)+5} \\ \\ =100-\frac{9}{80+5} \\ \\ =100-\frac{9}{85} \\ \\ =100-0.1058 \\ \\ =99.8941 \end{gathered}$

Final Answer:

$(f-g)(-10)=99.8941$