Question

If f(x) = -3x + 7 and g(x) = x2 - 1, find the following values:

Answer 1

a. 7

b.40

c. 156

1) Given the following functions:

`f(x)=-3x+7,g(x)=x^2-1`

2) We can find the given values below, by plugging into them values for x or operating those functions:

a) f(0)

`a)f(0)=-3(0)+7=0+7=7`

Note that we have only evaluated this function.

b) 5g(3)

`\begin{gathered} b)g(x)=x^2-1 \\ g(3)=3^2-1=8 \\ 5\cdot g(3)=5\cdot(8)=40 \end{gathered}`

Note that after plugging into that x=3 we have plugged for g(3) the found value and then multiplied by 5.

c) f(-2)+g(12)

For this one we need to plug into each of them, different values for x, and then add them up:

`\begin{gathered} f(x)=-3x+7,f(-2)=-3(-2)+7=6+7=13 \\ g(12)=(12)^2-1=144-1=143 \\ c)f(-2)+g(12)=13+143=156 \end{gathered}`

3) Hence, the answers are:

a. 7

b.40

c. 156