Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (h(x)) and. g (f (x))

1 answer:

5 0

To get f(h(x)), we simply plug h(x) into the x value(s) of f(x), resulting in
2(x²+1)-1=2x²+2-1=2x²+1

For g(f(x)), we plug f(x) into the x value(s) of g(x), resulting in
3(2x-1)=6x-3

You might be interested in

Find the derivative of sin2X

inn [45]

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

5 0

2 years ago

Read 2 more answers

The expression 9x2 - 5x - 7 has ___ terms and a constant of ___.

elena55 [62]

Answer: first option 3, - 7

Justification:

1) Given expression:9x² - 5x - 7

2) Each monomial is a term.

The monomials are each combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.

3) Therefore, there are 3 terms which are:

9x²,
-5x, and
-7.

The polynomials with 3 terms are called monomials.

4) The monomial (term) withoud letter is the constant. In this case that is -7.

4 0

3 years ago

What is the equation in slope intercept form?

patriot [66]

Answer:

Step-by-step explanation:

The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1

m1(m2)=-1

-m/3=-1

m=3

So we know our line has a slope of three so

y=3x+b, we can solve for the y intercept, b, using point (-2,8)