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:

7 0

F((h(x)) = 2(x^2 + 1) - 1 = 2x^2 + 1 (replace the x in f(x) by h(x))

g ( f(x)) = 3(2x - 1) = 6x - 3 (replace the x in g(x) by f(x))

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Please help me with this

kirill [66]

Answer:

15/2 or 7.5

Step-by-step explanation:

$5/6 (x + 1/2 + 4)$

distribute 5/6 to each number

$5/6x + 5/12 + 10/3$

change the fraction 10/3 so that it will have the same denominator as 5/12

$\frac{10}{3} *4$ = 40/12

$5/6x + 5/12 + 40/12\\5/6x + 45/12$

divide both sides by 5/6

$x = 9/2$

$5/6*9/2+5/12+10/3 = \frac{15}{2}$

3 0

9 months ago

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$