Question

let f(x)=-3x+2 g(x) =x/5 h(x)=-2x²+9 and j(x)=5-xfind each value (h+j)(x)=__________ (j-f)(x)=___________

Answer 1

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,

`\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}`

Hence, the answer is

`-2x^2-x+14`

b)

To find (j-f)(x):

We know that,

`\begin{gathered} (j-f)\mleft(x\mright)=j(x)-f(x) \\ =5-x-(-3x+2) \\ =5-x+3x-2 \\ =2x+3 \end{gathered}`

Hence, the answer is

`2x+3`