Question

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (fog) (-5)

Answer 1

`\left(fog\right)\left(-5\right)=-59`

Explanation:

Given functions are
`f\left(x\right)=-2x-7` and
`g\left(x\right)=-4x+6`.

Using both functions we need to find about what is the value of
`\left(fog\right)\left(-5\right)`. That can be done as shown below:

`\left(fog\right)\left(-5\right)`

`=f\left(g\left(-5\right)\right)`

`=f\left(-4\left(-5\right)+6\right)`

`=f\left(20+6\right)`

`=f\left(26\right)`

`=-2\left(26\right)-7`

`=-52-7`

`=-59`

Hence final answer is
`\left(fog\right)\left(-5\right)=-59`.