Answer :
Given:
f(x) = -3x+2
g(x) = x/5
h(x) =-2x²+9
j(x) = 5-x
a)
To find (h+j)(x):
We know that,
[tex]\begin{gathered} \mleft(h+j\mright)\mleft(x\mright)=h\mleft(x\mright)+j\mleft(x\mright) \\ =-2x^2+9+5-x \\ =-2x^2-x+14 \end{gathered}[/tex]Hence, the answer is
[tex]-2x^2-x+14[/tex]b)
To find (j-f)(x):
We know that,
[tex]\begin{gathered} (j-f)\mleft(x\mright)=j(x)-f(x) \\ =5-x-(-3x+2) \\ =5-x+3x-2 \\ =2x+3 \end{gathered}[/tex]Hence, the answer is
[tex]2x+3[/tex]