Consider the following functions: f(x) = x + 2
g(x) = 2x^2 + 1
ℎ(x) = x^3 − x − 1

1. Determine f(g(x)) and f(g(2))

2. Determine g(f(x)) and g(f(2))

3. Determine g(f(h(x))) and g(f(h(2)))

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the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places