Question

The functions f and f are defined as follows: f(x)=-2x-3 g(X)=2x power to 2nd -3x

Answer 1

The values of f(-

We can find the values of a function at some point by just doing the substitution of x to the number we want and then simplifying it, so let's do the first one

`f(x)=-2x-3`

We want f(4), so instead of "x" I'll put "4"

`f(4)=-2\cdot(4)-3`

Now we just got to simplify it

`\begin{gathered} f(4)=-2\cdot4-3 \\ \\ f(4)=-8-3 \\ \\ f(4)=-11 \end{gathered}`

Therefore, f(4) = -11

Now let's solve the second one, here we have another function

`g(x)=2x^2-3x`

We'll do the exact same process, where we have "x" we will put "-5", then

`g(-5)=2\cdot(-5)^2-3\cdot(-5)`

Again, let's just simplify it, remember that (-5)^2 = 25, positive.

`\begin{gathered} g(-5)=2\cdot25+15 \\ \\ g(-5)=50+15 \\ \\ g(-5)=65 \end{gathered}`

Therefore, g(-5) = 65