Let f(x)=3-8x and g(x)=1/4x+5. Find f(g(x)). Simplify the expression.

Mathematics

1 answer:

Irina18 [472]1 year ago

8 0

Answer: f(g(x))= -2x+43

Step-by-step explanation:

Here, you would start by substituting the equation for g(x) into the x value of f(x) equation.

Since g(x)=1/4x+5, f(g(x)) would be:

f(g(x))= 3-8(1/4x+5)

Then you would simplify.

f(g(x))= 3-8(1/4x+5)
= 3-2x+40

=-2x+43

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the missing statement in the proof is: ΔRST ≅ ΔUTS
the missing reason in the proof is: ASA Congruence Criterion

<h3>What is the ASA Congruence Criterion?</h3>

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore: