Answer:
[tex]\left(fog\right)\left(-5\right)=-59[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=-2x-7[/tex] and [tex]g\left(x\right)=-4x+6[/tex].
Using both functions we need to find about what is the value of [tex]\left(fog\right)\left(-5\right)[/tex]. That can be done as shown below:
[tex]\left(fog\right)\left(-5\right)[/tex]
[tex]=f\left(g\left(-5\right)\right)[/tex]
[tex]=f\left(-4\left(-5\right)+6\right)[/tex]
[tex]=f\left(20+6\right)[/tex]
[tex]=f\left(26\right)[/tex]
[tex]=-2\left(26\right)-7[/tex]
[tex]=-52-7[/tex]
[tex]=-59[/tex]
Hence final answer is [tex]\left(fog\right)\left(-5\right)=-59[/tex].
