Question

Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).

Answer 1

`\\ \sf\longmapsto f(x)=x^2+5x`

`\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)`

`\\ \sf\longmapsto f(-2)=4-10`

`\\ \sf\longmapsto f(-2)=-6`

.#2

`\\ \sf\longmapsto g(x)=2x+1`

`\\ \sf\longmapsto g(a)=2a+1`

`\\ \sf\longmapsto g(a+h)=2(a+h)+1`

.Now

`\\ \sf\longmapsto g(a+h)-g(a)`

`\\ \sf\longmapsto 2(a+h)+1-2a-1`

`\\ \sf\longmapsto 2a+2h+1-2a-1`

`\\ \sf\longmapsto 2h`