Let #f(x)=(x+3)^2# and #g(x)=x+4#, how do you find #h(x)=f(x)+g(x)#?

1 Answer
Jan 10, 2017

Substitute the right sides of equations for the two functions into the right side of the equation for #h(x)#, expand the square, combine like terms.

Explanation:

Given: #f(x) = (x + 3)^2 and g(x) = x + 4#

#h(x) = f(x) + g(x)#

Substitute the right sides of the equations for the two functions into the right side of the equation for #h(x)#:

#h(x) = (x+ 3)^2 + (x + 4)#

Expand the square:

#h(x) = x^2 + 6x + 9 + x + 4#

Combine like terms:

#h(x) = x^2 + 7x + 13#