Question

Let f(x) =×2+ × - 9 and g(x) = 7x + 5. Find g(1)and f(g(1)).

Answer 1

Recall that to evaluate a function at a given value, we substitute the variable with the given value.

Evaluating g(x) at x=1 we get:

`g(1)=7*1+5.`

Simplifying the above result we get:

`g(1)=7+5=12.`

Evaluating f(x) at g(1) we get:

`f(g(1))=(g(1))^2+g(1)-9.`

Substituting g(1)=12 in the above result we get:

`f(12)=12^2+12-9.`

Simplifying the above result we get:

`\begin{gathered} f(12)=144+12-9 \\ =147. \end{gathered}`

Answer: Second option.