Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ =
+
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Answer:
24 foot
Step-by-step explanation:
We are given that
Length of ladder=26 foot
Height of building=10 foot
We have to find the distance between the bottom of ladder and the bottom of building.
Pythagorus theorem:
We have hypotenuse =AC=26 foot
Perpendicular side =AB=10 foot
Base=BC
Substitute the values in the given formula
(Take positive because length is always positive)
BC=24 foot
Hence, the bottom of the ladder will be 24 foot from the bottom of the building.
