Chapter 9.9, Problem 1AGP

To determine

Solve the function.

Answer to Problem 1AGP

  $5x^2+x+4^x$

Explanation of Solution

Given Information: $f\left(x\right)=4^x+1$ and $g\left(x\right)=5x^2+x-1$

Formula Used: $\left(f+g\right)\left(x\right)=f(x)+g\left(x\right)$

Calculation:

  $f\left(x\right)=4^x+1$ and $g\left(x\right)=5x^2+x-1$

Now, to find $\left(f+g\right)\left(x\right)$ , Use formula

  $\left(f+g\right)\left(x\right)=f(x)+g\left(x\right)$

Now, put the value of $f(x)$ and $g(x)$

  $\left(f+g\right)\left(x\right)=4^x+1+5x^2+x-1$

Hence,

  $\left(f+g\right)\left(x\right)=5x^2+x+4^x$