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3 years ago

What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1

2. Interchange x and y: x = 2y + 1

3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

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What is the answer please help

Alekssandra [29.7K]

Answer:

x^2 + 3x -1

Step-by-step explanation:

f(x) = 3x-2

g(x) = x^2+1

(f+g)(x) = 3x-2+x^2+1

Combine like terms

= x^2 + 3x -1

8 0

3 years ago

2x(squared) + 23x-19=0

Helen [10]

Use quadratic formula

for ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

given
2x^2+23x-19=0
a=2
b=23
c=-19

x= $\frac{-23+/- \sqrt{23^2-4(2)(-19)} }{2(2)}$
x= $\frac{-23+/- \sqrt{529-152} }{4}$
x= $\frac{-23+/- \sqrt{377} }{4}$

x= $\frac{-23+ \sqrt{377} }{4}$ or $\frac{-23- \sqrt{377} }{4}$

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3 years ago

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Ivahew [28]

Answer:

yes you flip the sign because you are diving by a negative

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3 years ago

The four vertices of a rectangle drawn on a complex plane are defined by 1 + 4i, -2 + 4i, -2 – 3i, and 1 – 3i. The area of the r

kompoz [17]

The rectangle is 1-(-2) = 3 units in the real direction and 4i-(-3i) = 7 units in the imaginary direction. Its area is 3×7 = 21 square units.

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3 years ago

Read 2 more answers

True or False? Inscribed angles can have a degree measure larger than 180°.

lyudmila [28]

Answer:

The answer to this question would be false.

Step-by-step explanation:

No single angles can be more than 180, even an inscribed angle

Here:

Corollary (Inscribed Angles Conjecture III): Any angle inscribed in a semi-circle is a right angle. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees.

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3 years ago