Given f(x) = 3x + 4 and g(x) = sqrt x, calculate g(f)

Given f(x) = 3x + 4 and g(x) = sqrt x, calculate g(f)

Rational functions
asked 2021-02-12
Given \(\displaystyle{f{{\left({x}\right)}}}={3}{x}+{4}{\quad\text{and}\quad}{g{{\left({x}\right)}}}=\sqrt{{x}}\), calculate g(f)

Answers (1)


Relevant Questions

asked 2020-10-20
The function \(\displaystyle{f{{\left({x}\right)}}}={x}\frac{{\left({64}-{x}^{{2}}\right)}^{{1}}}{{2}}\) satisfies the hypotheses of Rolle's Theorem on the interval [-8,8]. Find all values of that satisfy the conclusion of the theorem.
a.) + 1, AND -1
b.) \(\displaystyle+{4}\sqrt{{{2}}}{\quad\text{and}\quad}-{4}\sqrt{{{2}}}\)
c.) \(\displaystyle{4}\sqrt{{{2}}}\)
d.) 1
My answer. The intervals do match and equal zero so Rolles theorem can work.
Second I found the derivative maybe thats where I can't solve this problem.
The derivative that I got was \(\displaystyle{64}-{x}^{{2}}+\frac{{x}}{\sqrt{{{64}-{x}^{{2}}}}}\) maybe i did wrong on the simplifying. I at least tried hopefully some one can explain as much as possible with every single step because I can figure out the algebra part.
asked 2020-12-28
Let \(\displaystyle{f{{\left({x}\right)}}}={2}{x}-{3}{\quad\text{and}\quad}{g{{\left({x}\right)}}}={4}{x},{f}\in{d}{\left({f}{o}{g}\right)}{\left({x}\right)}\)
asked 2020-11-05
Identify each of the following functions as polynomial, rational, algebraic, or transcendental
asked 2020-11-08
Use the Rational Zero Theorem to list all possible rational zeros for the function \(f(x) = x^3 + x^2 - 4x - 4\).
asked 2021-05-08
For each of the following functions f (x) and g(x), express g(x) in the form a: f (x + b) + c for some values a,b and c, and hence describe a sequence of horizontal and vertical transformations which map f(x) to g(x).
asked 2021-05-19
Let \(\displaystyle{h}{\left({x}\right)}={f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}\). If f(x)=6x and \(\displaystyle{g{{\left({x}\right)}}}={3}{x}^{{{2}}}\), what is h'(-1)?
asked 2020-11-03
Find Infinite limit (Rational Function)
underset \((x->5^+)(lim)(1/x^(4/3)-1/(x-5)^(4/3))\)
asked 2021-02-12
Find the parent function (f) of
asked 2021-02-21
Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient. Zeros: -1, multiplicity 1, 3, multiplicity 2, degree 3
asked 2021-05-26
Using the definition, calculate the derivatives of the function. Then find the values of the derivatives as specified.