Question

Given: g(x) = -2x-5 and f(x)= x2 +1
Find: f(g(-8))

Answer 1

`\\ \sf\longmapsto g(x)=-2x-5`

`\\ \sf\longmapsto g(-8)`

`\\ \sf\longmapsto -2(-8)-5`

`\\ \sf\longmapsto 16-5`

`\\ \sf\longmapsto 11`

Now

`\\ \sf\longmapsto f(x)=x^2+1`

`\\ \sf\longmapsto f(g(-8))`

`\\ \sf\longmapsto f(11)`

`\\ \sf\longmapsto 11^2+1`

`\\ \sf\longmapsto 121+1`

`\\ \sf\longmapsto 122`

Answer 2

`g( - 8) = - 2( - 8) - 5 = 16 - 5 = 11`

`f(g( - 8)) = {11}^(2) + 1 \\ = 121 + 1 \\ = 122`

I hope I helped you^_^