Question

1
f(x) = 7x - 2
g(x) = x^2 + 1
h (x) = 3^x
Find gh (2)​

Answer 1

Answer:

Step-by-stThis isn't really a functions-operations question, but something like this often arises in the functions-operations context. This looks much worse than it is, as long as I'm willing to take the time and be careful.

Affiliate

Affordable tutors for hire

algebra

The simplest way for me to proceed with this exercise is to work in pieces, simplifying as I go; then I'll put everything together and simplify at the end.

For the first part of the numerator, I need to plug the expression "x + h" in for every "x" in the formula for the function, using what I've learned about function notation, and then simplify:

f(x + h)

= 3(x + h)2 – (x + h) + 4

= 3(x2 + 2xh + h2) – x – h + 4

= 3x2 + 6xh + 3h2 – x – h + 4

The expression for the second part of the numerator is just the function itself:

f(x) = 3x2 – x + 4

Now I'll subtract and simplify:

f(x + h) - f(x)f(x+h)−f(x)

= \bigl(3x^2 + 6xh + 3h^2 - x - h + 4\bigr) - \bigl(3x^2 - x + 4\bigr)=(3x

2

+6xh+3h

2

−x−h+4)−(3x

2

−x+4)

= 3x^2 + 6xh + 3h^2 - x - h + 4 - 3x^2 + x - 4=3x

2

+6xh+3h

2

−x−h+4−3x

2

+x−4

= 3x^2 - 3x^2 + 6xh + 3h^2 - x + x - h + 4 - 4=3x

2

−3x

2

+6xh+3h

2

−x+x−h+4−4

= 6xh + 3h^2 - h=6xh+3h

2

−hep explanation:

Please mark a brainlist

Answer 2

Answer:

g(h(2)) = ??

h(2) =

${3}^{2} = 9$

$g(9) = {9}^{2} + 1 = 82$

answer is 82

hope it helps...