Question

4. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 5. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

Answer 1

Answer:

See below.

Step-by-step explanation:

4)

So we have the function:

$g(y)=7-6y$

And we want to find:

$g(s+1)$

So, substitute y for (s+1):

$g(y)=7-6y\\g(s+1)=7-6(s+1)$

Distribute:

$g(s+1)=7-6s-6$

Subtract:

$g(s+1)=-6s+1$

5)

So we have the function:

$h(t)=t^2-2t$

And we want to find:

$h(x-3)$

So, substitute t for (x-3):

$h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)$

Square and distribute:

$h(x-3)=(x^2-6x+9)+(-2x+6)$

Combine like terms:

$h(x-3)=(x^2)+(-6x-2x)+(9+6)$

Add:

$h(x-3)=x^2-8x+15$

And those are our answers :)