Consider the functions h(x) and g(x) Evaluate and simplify the expressions below

Question

H(X)=-6x+5

G(X)=-x+6

I have work done for the first three of the expressions below but don't know if I got them right and I am confused with the (H+G)(4)= and the one below it I attempted to do the (H+G)(4)=

H(4)=

-6(4)+5=

-24+5=

-19

G(4)=

-(4)+6=

-4+6=

2

(H+G)(4)=

(-6x+5)+(-x+6)(4)

-6x+5-x+6(4)

-7x+11(4)

-7x+44

(H+G)(X)=

Answer 1

You got the first two functions correct! The last two both use the same process. To find (H + G)(X), you need to distribute the function into H(X) + G(X), then solve.

(H + G)(X)

= H(X) + G(X)

= (-6x + 5) + (-x +6)

= -6x + 5 - x + 6

= -7x + 11

Then, to find (H + G)(4), simply substitute 4 into the expression above.

(H + G)(4)

= -7(4) + 11

= -28 +11

= -17